102000122001 has 12 divisors (see below), whose sum is σ = 147337818628. Its totient is φ = 67998092544.

The previous prime is 102000121879. The next prime is 102000122057. The reversal of 102000122001 is 100221000201.

It can be written as a sum of positive squares in 2 ways, for example, as 74692890000 + 27307232001 = 273300^2 + 165249^2 .

It is not a de Polignac number, because 102000122001 - 2¹⁷ = 101999990929 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102000122401) 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, 202041 + ... + 494793.

Almost surely, 2^102000122001 is an apocalyptic number.

It is an amenable number.

102000122001 is a deficient number, since it is larger than the sum of its proper divisors (45337696627).

102000122001 is a wasteful number, since it uses less digits than its factorization.

102000122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331472 (or 331469 counting only the distinct ones).

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

Adding to 102000122001 its reverse (100221000201), we get a palindrome (202221122202).

The spelling of 102000122001 in words is "one hundred two billion, one hundred twenty-two thousand, one".