101122222222100 has 18 divisors (see below), whose sum is σ = 219435222222174. Its totient is φ = 40448888888800.

The previous prime is 101122222222033. The next prime is 101122222222129. The reversal of 101122222222100 is 1222222221101.

It can be written as a sum of positive squares in 3 ways, for example, as 6980766388996 + 94141455833104 = 2642114^2 + 9702652^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 505611111011 + ... + 505611111210.

Almost surely, 2^{101122222222100} is an apocalyptic number.

101122222222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122222222100 is an abundant number, since it is smaller than the sum of its proper divisors (118313000000074).

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

101122222222100 is a wasteful number, since it uses less digits than its factorization.

101122222222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011222222235 (or 1011222222228 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101122222222100 its reverse (1222222221101), we get a palindrome (102344444443201).

Subtracting from 101122222222100 its reverse (1222222221101), we obtain a palindrome (99900000000999).

It can be divided in two parts, 101122 and 222222100, that added together give a palindrome (222323222).

The spelling of 101122222222100 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred".