100012122013221 has 48 divisors (see below), whose sum is σ = 161062180081920. Its totient is φ = 59281652981760.

The previous prime is 100012122013217. The next prime is 100012122013229. The reversal of 100012122013221 is 122310221210001.

100012122013221 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 121 + 220 + 1 + 322 + 1 = 666.

It is not a de Polignac number, because 100012122013221 - 2² = 100012122013217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100012122013194 and 100012122013203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012122013229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1071360 + ... + 14183513.

It is an arithmetic number, because the mean of its divisors is an integer number (3355462085040).

Almost surely, 2^{100012122013221} is an apocalyptic number.

100012122013221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012122013221 is a deficient number, since it is larger than the sum of its proper divisors (61050058068699).

100012122013221 is a wasteful number, since it uses less digits than its factorization.

100012122013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15256346 (or 15256343 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100012122013221 its reverse (122310221210001), we get a palindrome (222322343223222).

The spelling of 100012122013221 in words is "one hundred trillion, twelve billion, one hundred twenty-two million, thirteen thousand, two hundred twenty-one".