102001122313101 has 24 divisors (see below), whose sum is σ = 161184364338816. Its totient is φ = 61643737731840.

The previous prime is 102001122313067. The next prime is 102001122313141. The reversal of 102001122313101 is 101313221100201.

102001122313101 is a `hidden beast` number, since 1 + 0 + 200 + 1 + 122 + 31 + 310 + 1 = 666.

It is not a de Polignac number, because 102001122313101 - 2⁹ = 102001122312589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001122313141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1459333845 + ... + 1459403738.

It is an arithmetic number, because the mean of its divisors is an integer number (6716015180784).

Almost surely, 2^{102001122313101} is an apocalyptic number.

102001122313101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102001122313101 is a deficient number, since it is larger than the sum of its proper divisors (59183242025715).

102001122313101 is a wasteful number, since it uses less digits than its factorization.

102001122313101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918737953 (or 2918737950 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102001122313101 its reverse (101313221100201), we get a palindrome (203314343413302).

The spelling of 102001122313101 in words is "one hundred two trillion, one billion, one hundred twenty-two million, three hundred thirteen thousand, one hundred one".