1010200012100 has 36 divisors (see below), whose sum is σ = 2192300274948. Its totient is φ = 404049360000.

The previous prime is 1010200012099. The next prime is 1010200012117. The reversal of 1010200012100 is 12100020101.

1010200012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3280081984 + 1006919930116 = 57272^2 + 1003454^2 .

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, 965750 + ... + 1718450.

Almost surely, 2^{1010200012100} is an apocalyptic number.

1010200012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010200012100 is an abundant number, since it is smaller than the sum of its proper divisors (1182100262848).

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

1010200012100 is a wasteful number, since it uses less digits than its factorization.

1010200012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766136 (or 766129 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010200012100 its reverse (12100020101), we get a palindrome (1022300032201).

The spelling of 1010200012100 in words is "one trillion, ten billion, two hundred million, twelve thousand, one hundred".