10102212100 has 36 divisors (see below), whose sum is σ = 22061463844. Its totient is φ = 4015140480.

The previous prime is 10102212061. The next prime is 10102212103. The reversal of 10102212100 is 121220101.

It can be written as a sum of positive squares in 6 ways, for example, as 1958593536 + 8143618564 = 44256^2 + 90242^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10102212103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306027 + ... + 337426.

Almost surely, 2^10102212100 is an apocalyptic number.

10102212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102212100 is an abundant number, since it is smaller than the sum of its proper divisors (11959251744).

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

10102212100 is a wasteful number, since it uses less digits than its factorization.

10102212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643624 (or 643617 counting only the distinct ones).

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

Adding to 10102212100 its reverse (121220101), we get a palindrome (10223432201).

The spelling of 10102212100 in words is "ten billion, one hundred two million, two hundred twelve thousand, one hundred".