102111210110013 has 16 divisors (see below), whose sum is σ = 146622726229056. Its totient is φ = 62837024279040.

The previous prime is 102111210110003. The next prime is 102111210110069. The reversal of 102111210110013 is 310011012111201.

It is not a de Polignac number, because 102111210110013 - 2⁶ = 102111210109949 is a prime.

It is a super-2 number, since 2×102111210110013² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102111210109974 and 102111210110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111210110003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9534420 + ... + 17179277.

It is an arithmetic number, because the mean of its divisors is an integer number (9163920389316).

Almost surely, 2^{102111210110013} is an apocalyptic number.

102111210110013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102111210110013 is a deficient number, since it is larger than the sum of its proper divisors (44511516119043).

102111210110013 is a wasteful number, since it uses less digits than its factorization.

102111210110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26811724.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 102111210110013 its reverse (310011012111201), we get a palindrome (412122222221214).

The spelling of 102111210110013 in words is "one hundred two trillion, one hundred eleven billion, two hundred ten million, one hundred ten thousand, thirteen".