202000102120 has 32 divisors (see below), whose sum is σ = 458912862720. Its totient is φ = 80015572800.

The previous prime is 202000102081. The next prime is 202000102123. The reversal of 202000102120 is 21201000202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 202000102097 and 202000102106.

It is not an unprimeable number, because it can be changed into a prime (202000102123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24510456 + ... + 24518695.

It is an arithmetic number, because the mean of its divisors is an integer number (14341026960).

Almost surely, 2^202000102120 is an apocalyptic number.

202000102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202000102120 is an abundant number, since it is smaller than the sum of its proper divisors (256912760600).

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

202000102120 is a wasteful number, since it uses less digits than its factorization.

202000102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49029265 (or 49029261 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 202000102120 its reverse (21201000202), we get a palindrome (223201102322).

The spelling of 202000102120 in words is "two hundred two billion, one hundred two thousand, one hundred twenty".