102000202010001 has 12 divisors (see below), whose sum is σ = 147348505935540. Its totient is φ = 67993266607200.

The previous prime is 102000202009999. The next prime is 102000202010011. The reversal of 102000202010001 is 100010202000201.

It can be written as a sum of positive squares in 2 ways, for example, as 40828266090000 + 61171935920001 = 6389700^2 + 7821249^2 .

It is not a de Polignac number, because 102000202010001 - 2¹ = 102000202009999 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 (102000202010011) 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, 572244786 + ... + 572423003.

It is an arithmetic number, because the mean of its divisors is an integer number (12279042161295).

Almost surely, 2^{102000202010001} is an apocalyptic number.

It is an amenable number.

102000202010001 is a deficient number, since it is larger than the sum of its proper divisors (45348303925539).

102000202010001 is a wasteful number, since it uses less digits than its factorization.

102000202010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144677696 (or 1144677693 counting only the distinct ones).

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

Adding to 102000202010001 its reverse (100010202000201), we get a palindrome (202010404010202).

The spelling of 102000202010001 in words is "one hundred two trillion, two hundred two million, ten thousand, one".