100122013302201 has 24 divisors (see below), whose sum is σ = 157768835777280. Its totient is φ = 60679694671200.

The previous prime is 100122013302187. The next prime is 100122013302229. The reversal of 100122013302201 is 102203310221001.

100122013302201 is a `hidden beast` number, since 10 + 0 + 122 + 0 + 1 + 330 + 2 + 201 = 666.

It is not a de Polignac number, because 100122013302201 - 2²¹ = 100122011205049 is a prime.

It is a super-2 number, since 2×100122013302201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100122013302271) 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, 17426616 + ... + 22448406.

It is an arithmetic number, because the mean of its divisors is an integer number (6573701490720).

Almost surely, 2^{100122013302201} is an apocalyptic number.

100122013302201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122013302201 is a deficient number, since it is larger than the sum of its proper divisors (57646822475079).

100122013302201 is a wasteful number, since it uses less digits than its factorization.

100122013302201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5223197 (or 5223194 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100122013302201 its reverse (102203310221001), we get a palindrome (202325323523202).

The spelling of 100122013302201 in words is "one hundred trillion, one hundred twenty-two billion, thirteen million, three hundred two thousand, two hundred one".