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11021120101101 = 3111013679009991
BaseRepresentation
bin1010000001100000110111…
…1100101101101011101101
31110000121102210211222102010
42200120031330231223231
52421032223221213401
635235011020351433
72215151426113155
oct240301574555355
943017383758363
1011021120101101
11356a037a82520
12129bb729a5579
1361c396b99ab6
142a15d450d765
15141a4092bed6
hexa060df2daed

11021120101101 has 32 divisors (see below), whose sum is σ = 16233554866176. Its totient is φ = 6595312680000.

The previous prime is 11021120101097. The next prime is 11021120101163. The reversal of 11021120101101 is 10110102112011.

It is not a de Polignac number, because 11021120101101 - 22 = 11021120101097 is a prime.

It is a super-2 number, since 2×110211201011012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11021120101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3281785 + ... + 5728206.

It is an arithmetic number, because the mean of its divisors is an integer number (507298589568).

Almost surely, 211021120101101 is an apocalyptic number.

11021120101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11021120101101 is a deficient number, since it is larger than the sum of its proper divisors (5212434765075).

11021120101101 is a wasteful number, since it uses less digits than its factorization.

11021120101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010473.

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

Adding to 11021120101101 its reverse (10110102112011), we get a palindrome (21131222213112).

The spelling of 11021120101101 in words is "eleven trillion, twenty-one billion, one hundred twenty million, one hundred one thousand, one hundred one".

Divisors: 1 3 11 33 101 303 367 1101 1111 3333 4037 12111 37067 111201 407737 1223211 9009991 27029973 99109901 297329703 910009091 2730027273 3306666697 9920000091 10010100001 30030300003 36373333667 109120001001 333973336397 1001920009191 3673706700367 11021120101101