100122012013221 has 24 divisors (see below), whose sum is σ = 157817275757856. Its totient is φ = 60661062347040.

The previous prime is 100122012013183. The next prime is 100122012013241. The reversal of 100122012013221 is 122310210221001.

100122012013221 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 220 + 120 + 1 + 322 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-100122012013221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122012013194 and 100122012013203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122012013241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157555750 + ... + 158189943.

It is an arithmetic number, because the mean of its divisors is an integer number (6575719823244).

Almost surely, 2^{100122012013221} is an apocalyptic number.

100122012013221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122012013221 is a deficient number, since it is larger than the sum of its proper divisors (57695263744635).

100122012013221 is a wasteful number, since it uses less digits than its factorization.

100122012013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315748913 (or 315748910 counting only the distinct ones).

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

Adding to 100122012013221 its reverse (122310210221001), we get a palindrome (222432222234222).

The spelling of 100122012013221 in words is "one hundred trillion, one hundred twenty-two billion, twelve million, thirteen thousand, two hundred twenty-one".