102120010020 has 72 divisors (see below), whose sum is σ = 354016039104. Its totient is φ = 23341716288.

The previous prime is 102120009961. The next prime is 102120010033. The reversal of 102120010020 is 20010021201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102120009984 and 102120010011.

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 23 ways as a sum of consecutive naturals, for example, 40522554 + ... + 40525073.

It is an arithmetic number, because the mean of its divisors is an integer number (4916889432).

Almost surely, 2^102120010020 is an apocalyptic number.

102120010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120010020 is an abundant number, since it is smaller than the sum of its proper divisors (251896029084).

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

102120010020 is a wasteful number, since it uses less digits than its factorization.

102120010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81047649 (or 81047644 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102120010020 its reverse (20010021201), we get a palindrome (122130031221).

The spelling of 102120010020 in words is "one hundred two billion, one hundred twenty million, ten thousand, twenty".