102120122001000 has 128 divisors (see below), whose sum is σ = 318812325062400. Its totient is φ = 27215148396800.

The previous prime is 102120122000999. The next prime is 102120122001013. The reversal of 102120122001000 is 100221021201.

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, 5712780 + ... + 15390779.

It is an arithmetic number, because the mean of its divisors is an integer number (2490721289550).

Almost surely, 2^{102120122001000} is an apocalyptic number.

102120122001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120122001000 is an abundant number, since it is smaller than the sum of its proper divisors (216692203061400).

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

102120122001000 is a wasteful number, since it uses less digits than its factorization.

102120122001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21105196 (or 21105182 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102120122001000 its reverse (100221021201), we get a palindrome (102220343022201).

The spelling of 102120122001000 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty-two million, one thousand".