101001110102001 has 24 divisors (see below), whose sum is σ = 155789624789760. Its totient is φ = 62915040770400.

The previous prime is 101001110101999. The next prime is 101001110102029. The reversal of 101001110102001 is 100201011100101.

It is not a de Polignac number, because 101001110102001 - 2¹ = 101001110101999 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101001110102051) 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, 6241563415 + ... + 6241579596.

It is an arithmetic number, because the mean of its divisors is an integer number (6491234366240).

Almost surely, 2^{101001110102001} is an apocalyptic number.

It is an amenable number.

101001110102001 is a deficient number, since it is larger than the sum of its proper divisors (54788514687759).

101001110102001 is a wasteful number, since it uses less digits than its factorization.

101001110102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12483143077 (or 12483143074 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101001110102001 its reverse (100201011100101), we get a palindrome (201202121202102).

The spelling of 101001110102001 in words is "one hundred one trillion, one billion, one hundred ten million, one hundred two thousand, one".