102102001001001 has 6 divisors (see below), whose sum is σ = 147480668112570. Its totient is φ = 68068000667328.

The previous prime is 102102001000957. The next prime is 102102001001057. The reversal of 102102001001001 is 100100100201201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 51251567360400 + 50850433640601 = 7159020^2 + 7130949^2 .

It is not a de Polignac number, because 102102001001001 - 2⁷ = 102102001000873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11344666777889 = 102102001001001 / (1 + 0 + 2 + 1 + 0 + 2 + 0 + 0 + 1 + 0 + 0 + 1 + 0 + 0 + 1).

102102001001001 is a modest number, since divided by 1001001 gives 102102 as remainder.

It is not an unprimeable number, because it can be changed into a prime (102102001001071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5672333388936 + ... + 5672333388953.

It is an arithmetic number, because the mean of its divisors is an integer number (24580111352095).

Almost surely, 2^{102102001001001} is an apocalyptic number.

It is an amenable number.

102102001001001 is a deficient number, since it is larger than the sum of its proper divisors (45378667111569).

102102001001001 is a wasteful number, since it uses less digits than its factorization.

102102001001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11344666777895 (or 11344666777892 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102102001001001 its reverse (100100100201201), we get a palindrome (202202101202202).

The spelling of 102102001001001 in words is "one hundred two trillion, one hundred two billion, one million, one thousand, one".