10212211032100 has 72 divisors (see below), whose sum is σ = 27628672776768. Its totient is φ = 3183026812800.

The previous prime is 10212211032071. The next prime is 10212211032139. The reversal of 10212211032100 is 123011221201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 663122887 + ... + 663138286.

It is an arithmetic number, because the mean of its divisors is an integer number (383731566344).

Almost surely, 2^{10212211032100} is an apocalyptic number.

10212211032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212211032100 is an abundant number, since it is smaller than the sum of its proper divisors (17416461744668).

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

10212211032100 is a wasteful number, since it uses less digits than its factorization.

10212211032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326261205 (or 1326261198 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10212211032100 its reverse (123011221201), we get a palindrome (10335222253301).

The spelling of 10212211032100 in words is "ten trillion, two hundred twelve billion, two hundred eleven million, thirty-two thousand, one hundred".