100210100020 has 48 divisors (see below), whose sum is σ = 212882478480. Its totient is φ = 39619362816.

The previous prime is 100210099999. The next prime is 100210100059. The reversal of 100210100020 is 20001012001.

It can be written as a sum of positive squares in 8 ways, for example, as 3400755856 + 96809344164 = 58316^2 + 311142^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100210099976 and 100210100012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5888644 + ... + 5905636.

It is an arithmetic number, because the mean of its divisors is an integer number (4435051635).

Almost surely, 2^100210100020 is an apocalyptic number.

100210100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210100020 is an abundant number, since it is smaller than the sum of its proper divisors (112672378460).

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

100210100020 is a wasteful number, since it uses less digits than its factorization.

100210100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20404 (or 20402 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100210100020 its reverse (20001012001), we get a palindrome (120211112021).

The spelling of 100210100020 in words is "one hundred billion, two hundred ten million, one hundred thousand, twenty".