101010222100 has 18 divisors (see below), whose sum is σ = 219192182174. Its totient is φ = 40404088800.

The previous prime is 101010222077. The next prime is 101010222133. The reversal of 101010222100 is 1222010101.

It can be written as a sum of positive squares in 3 ways, for example, as 46430596 + 100963791504 = 6814^2 + 317748^2 .

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 (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505051011 + ... + 505051210.

Almost surely, 2^101010222100 is an apocalyptic number.

101010222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010222100 is an abundant number, since it is smaller than the sum of its proper divisors (118181960074).

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

101010222100 is a wasteful number, since it uses less digits than its factorization.

101010222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010102235 (or 1010102228 counting only the distinct ones).

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

Adding to 101010222100 its reverse (1222010101), we get a palindrome (102232232201).

The spelling of 101010222100 in words is "one hundred one billion, ten million, two hundred twenty-two thousand, one hundred".