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11010121201101 = 31123371019913917
BaseRepresentation
bin1010000000110111111001…
…0111001111010111001101
31102222120001021110222002110
42200031332113033113031
52420342212011413401
635225551352014233
72214312032031261
oct240157627172715
942876037428073
1011010121201101
113565403426120
121299a03391379
1361b333269049
142a0c6d8480a1
151415ea0089d6
hexa037e5cf5cd

11010121201101 has 128 divisors (see below), whose sum is σ = 17354509811712. Its totient is φ = 6140914560000.

The previous prime is 11010121201087. The next prime is 11010121201109. The reversal of 11010121201101 is 10110212101011.

It is not a de Polignac number, because 11010121201101 - 211 = 11010121199053 is a prime.

It is a super-2 number, since 2×110101212011012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010121201109) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2810853595 + ... + 2810857511.

It is an arithmetic number, because the mean of its divisors is an integer number (135582107904).

Almost surely, 211010121201101 is an apocalyptic number.

11010121201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11010121201101 is a deficient number, since it is larger than the sum of its proper divisors (6344388610611).

11010121201101 is a wasteful number, since it uses less digits than its factorization.

11010121201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5083.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11010121201101 its reverse (10110212101011), we get a palindrome (21120333302112).

The spelling of 11010121201101 in words is "eleven trillion, ten billion, one hundred twenty-one million, two hundred one thousand, one hundred one".

Divisors: 1 3 11 23 33 37 69 101 111 253 303 407 759 851 991 1111 1221 2323 2553 2973 3333 3737 3917 6969 9361 10901 11211 11751 22793 25553 28083 32703 36667 41107 43087 68379 76659 85951 90091 100091 110001 123321 129261 144929 250723 257853 270273 300273 395617 403337 434787 752169 843341 945461 991001 1101001 1186851 1210011 1594219 2302093 2530023 2836383 2973003 3303003 3333367 3703367 3881747 4351787 4782657 6906279 9099191 9276751 10000101 11110101 11645241 13055361 14637829 25323023 27297573 27830253 36667037 40737037 42699217 43913487 75969069 85177441 89280181 100091101 110001111 122211111 128097651 143624639 161016119 255532323 267840543 300273303 336670067 392056447 430873917 483048357 936951851 982081991 1010010201 1176169341 1579871029 2810855553 2946245973 3303366697 3703370737 4312620917 4739613087 9017298281 9910100091 11110112211 12937862751 14506088539 27051894843 36337033667 43518265617 99190281091 109011101001 159566973929 297570843273 333640036397 478700921787 1000920109191 3670040400367 11010121201101