102202121112201 has 24 divisors (see below), whose sum is σ = 161116184870784. Its totient is φ = 61913595512160.

The previous prime is 102202121112199. The next prime is 102202121112211. The reversal of 102202121112201 is 102211121202201.

102202121112201 is a `hidden beast` number, since 1 + 0 + 220 + 21 + 211 + 12 + 201 = 666.

It is not a de Polignac number, because 102202121112201 - 2¹ = 102202121112199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102202121112211) 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, 225472026 + ... + 225924851.

It is an arithmetic number, because the mean of its divisors is an integer number (6713174369616).

Almost surely, 2^{102202121112201} is an apocalyptic number.

102202121112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102202121112201 is a deficient number, since it is larger than the sum of its proper divisors (58914063758583).

102202121112201 is a wasteful number, since it uses less digits than its factorization.

102202121112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451399181 (or 451399178 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102202121112201 its reverse (102211121202201), we get a palindrome (204413242314402).

The spelling of 102202121112201 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-one million, one hundred twelve thousand, two hundred one".