1020002112100 has 36 divisors (see below), whose sum is σ = 2249689917748. Its totient is φ = 401312304000.

The previous prime is 1020002112079. The next prime is 1020002112191. The reversal of 1020002112100 is 12112000201.

It can be written as a sum of positive squares in 6 ways, for example, as 4212269604 + 1015789842496 = 64902^2 + 1007864^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83600631 + ... + 83612830.

Almost surely, 2^{1020002112100} is an apocalyptic number.

1020002112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020002112100 is an abundant number, since it is smaller than the sum of its proper divisors (1229687805648).

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

1020002112100 is a wasteful number, since it uses less digits than its factorization.

1020002112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167213536 (or 167213529 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020002112100 its reverse (12112000201), we get a palindrome (1032114112301).

The spelling of 1020002112100 in words is "one trillion, twenty billion, two million, one hundred twelve thousand, one hundred".