101220112111100 has 72 divisors (see below), whose sum is σ = 219739474586016. Its totient is φ = 40471120800000.

The previous prime is 101220112111087. The next prime is 101220112111219. The reversal of 101220112111100 is 1111211022101.

It is a super-2 number, since 2×101220112111100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3505929665 + ... + 3505958535.

It is an arithmetic number, because the mean of its divisors is an integer number (3051937147028).

Almost surely, 2^{101220112111100} is an apocalyptic number.

101220112111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220112111100 is an abundant number, since it is smaller than the sum of its proper divisors (118519362474916).

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

101220112111100 is a wasteful number, since it uses less digits than its factorization.

101220112111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42327 (or 42320 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101220112111100 its reverse (1111211022101), we get a palindrome (102331323133201).

The spelling of 101220112111100 in words is "one hundred one trillion, two hundred twenty billion, one hundred twelve million, one hundred eleven thousand, one hundred".