100202312322201 has 16 divisors (see below), whose sum is σ = 136041548710208. Its totient is φ = 65586312792000.

The previous prime is 100202312322179. The next prime is 100202312322227. The reversal of 100202312322201 is 102223213202001.

It is not a de Polignac number, because 100202312322201 - 2²² = 100202308127897 is a prime.

It is a super-2 number, since 2×100202312322201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100202312322001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500405950 + ... + 500606151.

It is an arithmetic number, because the mean of its divisors is an integer number (8502596794388).

Almost surely, 2^{100202312322201} is an apocalyptic number.

It is an amenable number.

100202312322201 is a deficient number, since it is larger than the sum of its proper divisors (35839236388007).

100202312322201 is a wasteful number, since it uses less digits than its factorization.

100202312322201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001012712.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100202312322201 its reverse (102223213202001), we get a palindrome (202425525524202).

The spelling of 100202312322201 in words is "one hundred trillion, two hundred two billion, three hundred twelve million, three hundred twenty-two thousand, two hundred one".