101202222202101 has 24 divisors (see below), whose sum is σ = 158838424592640. Its totient is φ = 61855348032000.

The previous prime is 101202222202033. The next prime is 101202222202219.

It is a happy number.

101202222202101 is a `hidden beast` number, since 1 + 0 + 12 + 0 + 222 + 220 + 210 + 1 = 666.

101202222202101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101202222202101 - 2⁹ = 101202222201589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202222102101) 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, 9545573100 + ... + 9545583701.

It is an arithmetic number, because the mean of its divisors is an integer number (6618267691360).

Almost surely, 2^{101202222202101} is an apocalyptic number.

It is an amenable number.

101202222202101 is a deficient number, since it is larger than the sum of its proper divisors (57636202390539).

101202222202101 is a wasteful number, since it uses less digits than its factorization.

101202222202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19091156857 (or 19091156854 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 101202222202101 in words is "one hundred one trillion, two hundred two billion, two hundred twenty-two million, two hundred two thousand, one hundred one".