100021100012112 has 160 divisors (see below), whose sum is σ = 266820155988480. Its totient is φ = 32268884889600.

The previous prime is 100021100012107. The next prime is 100021100012123. The reversal of 100021100012112 is 211210001120001.

It is a super-2 number, since 2×100021100012112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188627868 + ... + 189157380.

It is an arithmetic number, because the mean of its divisors is an integer number (1667625974928).

Almost surely, 2^{100021100012112} is an apocalyptic number.

100021100012112 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 100021100012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133410077994240).

100021100012112 is an abundant number, since it is smaller than the sum of its proper divisors (166799055976368).

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

100021100012112 is a wasteful number, since it uses less digits than its factorization.

100021100012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530501 (or 530495 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100021100012112 its reverse (211210001120001), we get a palindrome (311231101132113).

The spelling of 100021100012112 in words is "one hundred trillion, twenty-one billion, one hundred million, twelve thousand, one hundred twelve".