102202112201101 has 12 divisors (see below), whose sum is σ = 113450114907612. Its totient is φ = 91991100080000.

The previous prime is 102202112201099. The next prime is 102202112201117. The reversal of 102202112201101 is 101102211202201.

It can be written as a sum of positive squares in 2 ways, for example, as 51466778181225 + 50735334019876 = 7174035^2 + 7122874^2 .

It is not a de Polignac number, because 102202112201101 - 2¹ = 102202112201099 is a prime.

It is a super-2 number, since 2×102202112201101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202112201701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4181401420 + ... + 4181425861.

It is an arithmetic number, because the mean of its divisors is an integer number (9454176242301).

Almost surely, 2^{102202112201101} is an apocalyptic number.

102202112201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102202112201101 is a deficient number, since it is larger than the sum of its proper divisors (11248002706511).

102202112201101 is a wasteful number, since it uses less digits than its factorization.

102202112201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8362827404 (or 8362827393 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102202112201101 its reverse (101102211202201), we get a palindrome (203304323403302).

The spelling of 102202112201101 in words is "one hundred two trillion, two hundred two billion, one hundred twelve million, two hundred one thousand, one hundred one".