22010021010100 has 36 divisors (see below), whose sum is σ = 48234634184268. Its totient is φ = 8716840000000.

The previous prime is 22010021010079. The next prime is 22010021010203. The reversal of 22010021010100 is 101012001022.

It can be written as a sum of positive squares in 6 ways, for example, as 320620942756 + 21689400067344 = 566234^2 + 4657188^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1089594901 + ... + 1089615100.

It is an arithmetic number, because the mean of its divisors is an integer number (1339850949563).

Almost surely, 2^{22010021010100} is an apocalyptic number.

22010021010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010021010100 is an abundant number, since it is smaller than the sum of its proper divisors (26224613174168).

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

22010021010100 is a wasteful number, since it uses less digits than its factorization.

22010021010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179210116 (or 2179210109 counting only the distinct ones).

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

Adding to 22010021010100 its reverse (101012001022), we get a palindrome (22111033011122).

The spelling of 22010021010100 in words is "twenty-two trillion, ten billion, twenty-one million, ten thousand, one hundred".