102202112220201 has 96 divisors (see below), whose sum is σ = 179166704640000. Its totient is φ = 57398478518304.

The previous prime is 102202112220181. The next prime is 102202112220209. The reversal of 102202112220201 is 102022211202201.

It is a happy number.

102202112220201 is a `hidden beast` number, since 1 + 0 + 220 + 21 + 1 + 2 + 220 + 201 = 666.

It is not a de Polignac number, because 102202112220201 - 2⁹ = 102202112219689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102202112220209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37600200 + ... + 40226598.

It is an arithmetic number, because the mean of its divisors is an integer number (1866319840000).

Almost surely, 2^{102202112220201} is an apocalyptic number.

It is an amenable number.

102202112220201 is a deficient number, since it is larger than the sum of its proper divisors (76964592419799).

102202112220201 is a wasteful number, since it uses less digits than its factorization.

102202112220201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626928 (or 2626915 counting only the distinct ones).

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

Adding to 102202112220201 its reverse (102022211202201), we get a palindrome (204224323422402).

The spelling of 102202112220201 in words is "one hundred two trillion, two hundred two billion, one hundred twelve million, two hundred twenty thousand, two hundred one".