10100102020100 has 36 divisors (see below), whose sum is σ = 22134223597668. Its totient is φ = 4000040400000.

The previous prime is 10100102020049. The next prime is 10100102020111. The reversal of 10100102020100 is 102020100101.

It can be written as a sum of positive squares in 6 ways, for example, as 321235034176 + 9778866985924 = 566776^2 + 3127118^2 .

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 11 ways as a sum of consecutive naturals, for example, 499994951 + ... + 500015150.

Almost surely, 2^{10100102020100} is an apocalyptic number.

10100102020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100102020100 is an abundant number, since it is smaller than the sum of its proper divisors (12034121577568).

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

10100102020100 is a wasteful number, since it uses less digits than its factorization.

10100102020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000010216 (or 1000010209 counting only the distinct ones).

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

Adding to 10100102020100 its reverse (102020100101), we get a palindrome (10202122120201).

The spelling of 10100102020100 in words is "ten trillion, one hundred billion, one hundred two million, twenty thousand, one hundred".