101220101122100 has 36 divisors (see below), whose sum is σ = 222656490950124. Its totient is φ = 39933409754880.

The previous prime is 101220101122061. The next prime is 101220101122103. The reversal of 101220101122100 is 1221101022101.

It can be written as a sum of positive squares in 6 ways, for example, as 8055174890896 + 93164926231204 = 2838164^2 + 9652198^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220101122103) 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, 6932876339 + ... + 6932890938.

Almost surely, 2^{101220101122100} is an apocalyptic number.

101220101122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220101122100 is an abundant number, since it is smaller than the sum of its proper divisors (121436389828024).

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

101220101122100 is a wasteful number, since it uses less digits than its factorization.

101220101122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13865767364 (or 13865767357 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101220101122100 its reverse (1221101022101), we get a palindrome (102441202144201).

Subtracting from 101220101122100 its reverse (1221101022101), we obtain a palindrome (99999000099999).

The spelling of 101220101122100 in words is "one hundred one trillion, two hundred twenty billion, one hundred one million, one hundred twenty-two thousand, one hundred".