10102210202100 has 72 divisors (see below), whose sum is σ = 29512838904640. Its totient is φ = 2667768122880.

The previous prime is 10102210202081. The next prime is 10102210202137. The reversal of 10102210202100 is 120201220101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163435285 + ... + 163497084.

Almost surely, 2^{10102210202100} is an apocalyptic number.

10102210202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102210202100 is an abundant number, since it is smaller than the sum of its proper divisors (19410628702540).

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

10102210202100 is a wasteful number, since it uses less digits than its factorization.

10102210202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326932489 (or 326932482 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10102210202100 its reverse (120201220101), we get a palindrome (10222411422201).

The spelling of 10102210202100 in words is "ten trillion, one hundred two billion, two hundred ten million, two hundred two thousand, one hundred".