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11011010122101 = 31113923931332089
BaseRepresentation
bin1010000000111011001101…
…0110001101000101110101
31102222122100020010211110110
42200032303112031011311
52420401022042401401
635230215504413233
72214343044524553
oct240166326150565
942878306124413
1011011010122101
11356581a180680
12129a011017219
1361b4454839c2
142a0d1591cbd3
1514164d0979d6
hexa03b358d175

11011010122101 has 64 divisors (see below), whose sum is σ = 16250992128000. Its totient is φ = 6576325217280.

The previous prime is 11011010122067. The next prime is 11011010122103. The reversal of 11011010122101 is 10122101011011.

It is not a de Polignac number, because 11011010122101 - 221 = 11011008024949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011010122103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343123665 + ... + 343155753.

It is an arithmetic number, because the mean of its divisors is an integer number (253921752000).

Almost surely, 211011010122101 is an apocalyptic number.

11011010122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11011010122101 is a deficient number, since it is larger than the sum of its proper divisors (5239982005899).

11011010122101 is a wasteful number, since it uses less digits than its factorization.

11011010122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32794.

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

Adding to 11011010122101 its reverse (10122101011011), we get a palindrome (21133111133112).

It can be divided in two parts, 11011010 and 122101, that added together give a palindrome (11133111).

The spelling of 11011010122101 in words is "eleven trillion, eleven billion, ten million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 3 11 33 139 239 313 417 717 939 1529 2629 3443 4587 7887 10329 32089 33221 43507 74807 96267 99663 130521 224421 352979 365431 478577 822877 1058937 1096293 1435731 2468631 4460371 7669271 10043857 10398173 13381113 23007813 30131571 31194519 49064081 84361981 110482427 114379903 147192243 253085943 331447281 343139709 1066028669 1396096123 2400481823 3198086007 4188288369 7201445469 11726315359 15357057353 26405300053 35178946077 46071172059 79215900159 333666973397 1001000920191 3670336707367 11011010122101