102202112121101 has 16 divisors (see below), whose sum is σ = 103853623910400. Its totient is φ = 100561367384880.

The previous prime is 102202112121089. The next prime is 102202112121181. The reversal of 102202112121101 is 101121211202201.

It is a cyclic number.

It is not a de Polignac number, because 102202112121101 - 2³⁴ = 102184932251917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102202112121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202112121181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19639850 + ... + 24292548.

It is an arithmetic number, because the mean of its divisors is an integer number (6490851494400).

Almost surely, 2^{102202112121101} is an apocalyptic number.

It is an amenable number.

102202112121101 is a deficient number, since it is larger than the sum of its proper divisors (1651511789299).

102202112121101 is an equidigital number, since it uses as much as digits as its factorization.

102202112121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4653856.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102202112121101 its reverse (101121211202201), we get a palindrome (203323323323302).

The spelling of 102202112121101 in words is "one hundred two trillion, two hundred two billion, one hundred twelve million, one hundred twenty-one thousand, one hundred one".