10102222110100 has 36 divisors (see below), whose sum is σ = 21977040760444. Its totient is φ = 4030710266880.

The previous prime is 10102222110091. The next prime is 10102222110107. The reversal of 10102222110100 is 101122220101.

It can be written as a sum of positive squares in 6 ways, for example, as 211662564624 + 9890559545476 = 460068^2 + 3144926^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102222110107) 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, 127192317 + ... + 127271716.

Almost surely, 2^{10102222110100} is an apocalyptic number.

10102222110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102222110100 is an abundant number, since it is smaller than the sum of its proper divisors (11874818650344).

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

10102222110100 is a wasteful number, since it uses less digits than its factorization.

10102222110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254464444 (or 254464437 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10102222110100 its reverse (101122220101), we get a palindrome (10203344330201).

The spelling of 10102222110100 in words is "ten trillion, one hundred two billion, two hundred twenty-two million, one hundred ten thousand, one hundred".