100220212112112 has 40 divisors (see below), whose sum is σ = 287669127360080. Its totient is φ = 33406737370560.

The previous prime is 100220212112107. The next prime is 100220212112113. The reversal of 100220212112112 is 211211212022001.

100220212112112 is a `hidden beast` number, since 1 + 0 + 0 + 220 + 21 + 211 + 211 + 2 = 666.

100220212112112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220212112113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115995615439 + ... + 115995616302.

It is an arithmetic number, because the mean of its divisors is an integer number (7191728184002).

Almost surely, 2^{100220212112112} is an apocalyptic number.

100220212112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100220212112112 is an abundant number, since it is smaller than the sum of its proper divisors (187448915247968).

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

100220212112112 is a wasteful number, since it uses less digits than its factorization.

100220212112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231991231758 (or 231991231746 counting only the distinct ones).

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

Adding to 100220212112112 its reverse (211211212022001), we get a palindrome (311431424134113).

The spelling of 100220212112112 in words is "one hundred trillion, two hundred twenty billion, two hundred twelve million, one hundred twelve thousand, one hundred twelve".