101012102001 has 64 divisors (see below), whose sum is σ = 162348883200. Its totient is φ = 61834226688.

The previous prime is 101012101997. The next prime is 101012102021. The reversal of 101012102001 is 100201210101.

It is a happy number.

It is not a de Polignac number, because 101012102001 - 2² = 101012101997 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101012102021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4342935 + ... + 4366131.

It is an arithmetic number, because the mean of its divisors is an integer number (2536701300).

Almost surely, 2^101012102001 is an apocalyptic number.

It is an amenable number.

101012102001 is a deficient number, since it is larger than the sum of its proper divisors (61336781199).

101012102001 is a wasteful number, since it uses less digits than its factorization.

101012102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23455 (or 23449 counting only the distinct ones).

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

Adding to 101012102001 its reverse (100201210101), we get a palindrome (201213312102).

The spelling of 101012102001 in words is "one hundred one billion, twelve million, one hundred two thousand, one".