102202010000001 has 12 divisors (see below), whose sum is σ = 147626017336980. Its totient is φ = 68134261741920.

The previous prime is 102202009999987. The next prime is 102202010000003. The reversal of 102202010000001 is 100000010202201.

It can be written as a sum of positive squares in 2 ways, for example, as 40295390058225 + 61906619941776 = 6347865^2 + 7868076^2 .

It is not a de Polignac number, because 102202010000001 - 2¹⁷ = 102202009868929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102202010000003) 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, 32722846 + ... + 35709783.

It is an arithmetic number, because the mean of its divisors is an integer number (12302168111415).

Almost surely, 2^{102202010000001} is an apocalyptic number.

It is an amenable number.

102202010000001 is a deficient number, since it is larger than the sum of its proper divisors (45424007336979).

102202010000001 is a wasteful number, since it uses less digits than its factorization.

102202010000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68598576 (or 68598573 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102202010000001 its reverse (100000010202201), we get a palindrome (202202020202202).

The spelling of 102202010000001 in words is "one hundred two trillion, two hundred two billion, ten million, one", and thus it is an aban number.