100220112220212 has 240 divisors, whose sum is σ = 293078214696960. Its totient is φ = 29711506019328.

The previous prime is 100220112220187. The next prime is 100220112220219. The reversal of 100220112220212 is 212022211022001.

It is a happy number.

100220112220212 is a `hidden beast` number, since 1 + 0 + 0 + 220 + 1 + 12 + 220 + 212 = 666.

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 (100220112220219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 832653 + ... + 14182155.

It is an arithmetic number, because the mean of its divisors is an integer number (1221159227904).

Almost surely, 2^{100220112220212} is an apocalyptic number.

100220112220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220112220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146539107348480).

100220112220212 is an abundant number, since it is smaller than the sum of its proper divisors (192858102476748).

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

100220112220212 is a wasteful number, since it uses less digits than its factorization.

100220112220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13349612 (or 13349601 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100220112220212 its reverse (212022211022001), we get a palindrome (312242323242213).

The spelling of 100220112220212 in words is "one hundred trillion, two hundred twenty billion, one hundred twelve million, two hundred twenty thousand, two hundred twelve".