102101120311113 has 48 divisors (see below), whose sum is σ = 183952540262400. Its totient is φ = 53015853270240.

The previous prime is 102101120311061. The next prime is 102101120311121. The reversal of 102101120311113 is 311113021101201.

102101120311113 is a `hidden beast` number, since 1 + 0 + 210 + 11 + 20 + 311 + 113 = 666.

It is not a de Polignac number, because 102101120311113 - 2²⁶ = 102101053202249 is a prime.

It is a super-2 number, since 2×102101120311113² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102101120311613) 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 47 ways as a sum of consecutive naturals, for example, 31349683 + ... + 34452936.

It is an arithmetic number, because the mean of its divisors is an integer number (3832344588800).

Almost surely, 2^{102101120311113} is an apocalyptic number.

It is an amenable number.

102101120311113 is a deficient number, since it is larger than the sum of its proper divisors (81851419951287).

102101120311113 is a wasteful number, since it uses less digits than its factorization.

102101120311113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65804882 (or 65804879 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 102101120311113 its reverse (311113021101201), we get a palindrome (413214141412314).

The spelling of 102101120311113 in words is "one hundred two trillion, one hundred one billion, one hundred twenty million, three hundred eleven thousand, one hundred thirteen".