101001100011201 has 24 divisors (see below), whose sum is σ = 157118876980520. Its totient is φ = 62152127801856.

The previous prime is 101001100011173. The next prime is 101001100011271. The reversal of 101001100011201 is 102110001100101.

It can be written as a sum of positive squares in 4 ways, for example, as 94755614976 + 100906344396225 = 307824^2 + 10045215^2 .

It is not a de Polignac number, because 101001100011201 - 2⁵ = 101001100011169 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 (101001100011271) 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, 13582546 + ... + 19659291.

Almost surely, 2^{101001100011201} is an apocalyptic number.

It is an amenable number.

101001100011201 is a deficient number, since it is larger than the sum of its proper divisors (56117776969319).

101001100011201 is a wasteful number, since it uses less digits than its factorization.

101001100011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33267825 (or 33267822 counting only the distinct ones).

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

Adding to 101001100011201 its reverse (102110001100101), we get a palindrome (203111101111302).

The spelling of 101001100011201 in words is "one hundred one trillion, one billion, one hundred million, eleven thousand, two hundred one".