101000112031001 has 4 divisors (see below), whose sum is σ = 101000591822004. Its totient is φ = 100999632240000.

The previous prime is 101000112030991. The next prime is 101000112031087. The reversal of 101000112031001 is 100130211000101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 150796305625 + 100849315725376 = 388325^2 + 10042376^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000112031001 - 2³⁴ = 100982932161817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000112031801) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 239579600 + ... + 240000801.

It is an arithmetic number, because the mean of its divisors is an integer number (25250147955501).

Almost surely, 2^{101000112031001} is an apocalyptic number.

It is an amenable number.

101000112031001 is a deficient number, since it is larger than the sum of its proper divisors (479791003).

101000112031001 is an equidigital number, since it uses as much as digits as its factorization.

101000112031001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479791002.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101000112031001 its reverse (100130211000101), we get a palindrome (201130323031102).

The spelling of 101000112031001 in words is "one hundred one trillion, one hundred twelve million, thirty-one thousand, one".