102120111000012 has 96 divisors (see below), whose sum is σ = 272405286945792. Its totient is φ = 29168070091776.

The previous prime is 102120111000007. The next prime is 102120111000029. The reversal of 102120111000012 is 210000111021201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5742560473 + ... + 5742578255.

It is an arithmetic number, because the mean of its divisors is an integer number (2837555072352).

Almost surely, 2^{102120111000012} is an apocalyptic number.

102120111000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102120111000012 is an abundant number, since it is smaller than the sum of its proper divisors (170285175945780).

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

102120111000012 is a wasteful number, since it uses less digits than its factorization.

102120111000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35287 (or 35285 counting only the distinct ones).

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

Adding to 102120111000012 its reverse (210000111021201), we get a palindrome (312120222021213).

The spelling of 102120111000012 in words is "one hundred two trillion, one hundred twenty billion, one hundred eleven million, twelve", and thus it is an aban number.