102002122100120 has 64 divisors (see below), whose sum is σ = 250658960624640. Its totient is φ = 37048700694400.

The previous prime is 102002122100119. The next prime is 102002122100227. The reversal of 102002122100120 is 21001221200201.

It is a junction number, because it is equal to n+sod(n) for n = 102002122100095 and 102002122100104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133932566 + ... + 134692005.

It is an arithmetic number, because the mean of its divisors is an integer number (3916546259760).

Almost surely, 2^{102002122100120} is an apocalyptic number.

102002122100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002122100120 is an abundant number, since it is smaller than the sum of its proper divisors (148656838524520).

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

102002122100120 is a wasteful number, since it uses less digits than its factorization.

102002122100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268625456 (or 268625452 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102002122100120 its reverse (21001221200201), we get a palindrome (123003343300321).

The spelling of 102002122100120 in words is "one hundred two trillion, two billion, one hundred twenty-two million, one hundred thousand, one hundred twenty".