100112220000221 has 16 divisors (see below), whose sum is σ = 121670023829760. Its totient is φ = 81113349213120.

The previous prime is 100112220000151. The next prime is 100112220000229. The reversal of 100112220000221 is 122000022211001.

It is a cyclic number.

It is not a de Polignac number, because 100112220000221 - 2²⁶ = 100112152891357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100112220000196 and 100112220000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112220000229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12070434725 + ... + 12070443018.

It is an arithmetic number, because the mean of its divisors is an integer number (7604376489360).

Almost surely, 2^{100112220000221} is an apocalyptic number.

100112220000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112220000221 is a deficient number, since it is larger than the sum of its proper divisors (21557803829539).

100112220000221 is a wasteful number, since it uses less digits than its factorization.

100112220000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24140877796.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100112220000221 its reverse (122000022211001), we get a palindrome (222112242211222).

The spelling of 100112220000221 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty million, two hundred twenty-one", and thus it is an aban number.