102001310001 has 6 divisors (see below), whose sum is σ = 147335225570. Its totient is φ = 68000873328.

The previous prime is 102001309919. The next prime is 102001310011. The reversal of 102001310001 is 100013100201.

It can be written as a sum of positive squares in only one way, i.e., 98856792225 + 3144517776 = 314415^2 + 56076^2 .

It is not a de Polignac number, because 102001310001 - 2¹⁰ = 102001308977 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: 11333478889 = 102001310001 / (1 + 0 + 2 + 0 + 0 + 1 + 3 + 1 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102001310011) 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, 5666739436 + ... + 5666739453.

Almost surely, 2^102001310001 is an apocalyptic number.

It is an amenable number.

102001310001 is a deficient number, since it is larger than the sum of its proper divisors (45333915569).

102001310001 is a wasteful number, since it uses less digits than its factorization.

102001310001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11333478895 (or 11333478892 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 102001310001 its reverse (100013100201), we get a palindrome (202014410202).

It can be divided in two parts, 10200 and 1310001, that added together give a square (1320201 = 1149²).

The spelling of 102001310001 in words is "one hundred two billion, one million, three hundred ten thousand, one".