102202222202201 has 6 divisors (see below), whose sum is σ = 112337979776106. Its totient is φ = 92911111092800.

The previous prime is 102202222202191. The next prime is 102202222202273.

102202222202201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 79915089346576 + 22287132855625 = 8939524^2 + 4720925^2 .

It is a de Polignac number, because none of the positive numbers 2^k-102202222202201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102202224202201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 422323232120 + ... + 422323232361.

It is an arithmetic number, because the mean of its divisors is an integer number (18722996629351).

Almost surely, 2^{102202222202201} is an apocalyptic number.

102202222202201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102202222202201 is a deficient number, since it is larger than the sum of its proper divisors (10135757573905).

102202222202201 is an equidigital number, since it uses as much as digits as its factorization.

102202222202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844646464503 (or 844646464492 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The spelling of 102202222202201 in words is "one hundred two trillion, two hundred two billion, two hundred twenty-two million, two hundred two thousand, two hundred one".