102020120010 has 96 divisors (see below), whose sum is σ = 287705697552. Its totient is φ = 24980520960.

The previous prime is 102020119991. The next prime is 102020120021. The reversal of 102020120010 is 10021020201.

It can be written as a sum of positive squares in 8 ways, for example, as 28051895169 + 73968224841 = 167487^2 + 271971^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102020119974 and 102020120001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 750439 + ... + 875898.

Almost surely, 2^102020120010 is an apocalyptic number.

102020120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102020120010 is an abundant number, since it is smaller than the sum of its proper divisors (185685577542).

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

102020120010 is a wasteful number, since it uses less digits than its factorization.

102020120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626408 (or 1626405 counting only the distinct ones).

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

Adding to 102020120010 its reverse (10021020201), we get a palindrome (112041140211).

The spelling of 102020120010 in words is "one hundred two billion, twenty million, one hundred twenty thousand, ten".