102121120000116 has 96 divisors (see below), whose sum is σ = 302592947086080. Its totient is φ = 29176320102912.

The previous prime is 102121120000103. The next prime is 102121120000117. The reversal of 102121120000116 is 611000021121201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121120000117) 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, 16764256 + ... + 22029128.

It is an arithmetic number, because the mean of its divisors is an integer number (3152009865480).

Almost surely, 2^{102121120000116} is an apocalyptic number.

It is an amenable number.

102121120000116 is an abundant number, since it is smaller than the sum of its proper divisors (200471827085964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102121120000116 is a wasteful number, since it uses less digits than its factorization.

102121120000116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5290550 (or 5290542 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102121120000116 its reverse (611000021121201), we get a palindrome (713121141121317).

The spelling of 102121120000116 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred sixteen", and thus it is an aban number.