102120212100012 has 24 divisors (see below), whose sum is σ = 238720939452912. Its totient is φ = 33977150049600.

The previous prime is 102120212099989. The next prime is 102120212100029. The reversal of 102120212100012 is 210001212021201.

It is a junction number, because it is equal to n+sod(n) for n = 102120212099964 and 102120212100000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7865074539 + ... + 7865087522.

It is an arithmetic number, because the mean of its divisors is an integer number (9946705810538).

Almost surely, 2^{102120212100012} is an apocalyptic number.

102120212100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102120212100012 is an abundant number, since it is smaller than the sum of its proper divisors (136600727352900).

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

102120212100012 is a wasteful number, since it uses less digits than its factorization.

102120212100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15730162609 (or 15730162607 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102120212100012 its reverse (210001212021201), we get a palindrome (312121424121213).

The spelling of 102120212100012 in words is "one hundred two trillion, one hundred twenty billion, two hundred twelve million, one hundred thousand, twelve".