100211122022112 has 60 divisors (see below), whose sum is σ = 294718126232376. Its totient is φ = 33403707339840.

The previous prime is 100211122022093. The next prime is 100211122022149. The reversal of 100211122022112 is 211220221112001.

100211122022112 is a `hidden beast` number, since 1 + 0 + 0 + 211 + 1 + 220 + 221 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19330846564 + ... + 19330851747.

Almost surely, 2^{100211122022112} is an apocalyptic number.

100211122022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100211122022112 is an abundant number, since it is smaller than the sum of its proper divisors (194507004210264).

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

100211122022112 is an equidigital number, since it uses as much as digits as its factorization.

100211122022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38661698333 (or 38661698316 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100211122022112 its reverse (211220221112001), we get a palindrome (311431343134113).

The spelling of 100211122022112 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty-two million, twenty-two thousand, one hundred twelve".