102202102001 has 16 divisors (see below), whose sum is σ = 111195174096. Its totient is φ = 93542916096.

The previous prime is 102202101997. The next prime is 102202102021. The reversal of 102202102001 is 100201202201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 32833077601 + 69369024400 = 181199^2 + 263380^2 .

It is a cyclic number.

It is not a de Polignac number, because 102202102001 - 2² = 102202101997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102202102021) 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, 1228415 + ... + 1308971.

It is an arithmetic number, because the mean of its divisors is an integer number (6949698381).

Almost surely, 2^102202102001 is an apocalyptic number.

It is an amenable number.

102202102001 is a deficient number, since it is larger than the sum of its proper divisors (8993072095).

102202102001 is a wasteful number, since it uses less digits than its factorization.

102202102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82628.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102202102001 its reverse (100201202201), we get a palindrome (202403304202).

The spelling of 102202102001 in words is "one hundred two billion, two hundred two million, one hundred two thousand, one".