102010110012120 has 64 divisors (see below), whose sum is σ = 319335996568320. Its totient is φ = 26019970089344.

The previous prime is 102010110012103. The next prime is 102010110012121. The reversal of 102010110012120 is 21210011010201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102010110012096 and 102010110012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010110012121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18480089634 + ... + 18480095153.

It is an arithmetic number, because the mean of its divisors is an integer number (4989624946380).

Almost surely, 2^{102010110012120} is an apocalyptic number.

102010110012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010110012120 is an abundant number, since it is smaller than the sum of its proper divisors (217325886556200).

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

102010110012120 is a wasteful number, since it uses less digits than its factorization.

102010110012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36960184824 (or 36960184820 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102010110012120 its reverse (21210011010201), we get a palindrome (123220121022321).

The spelling of 102010110012120 in words is "one hundred two trillion, ten billion, one hundred ten million, twelve thousand, one hundred twenty".