101031012001 has 4 divisors (see below), whose sum is σ = 101058314004. Its totient is φ = 101003710000.

The previous prime is 101031011999. The next prime is 101031012073. The reversal of 101031012001 is 100210130101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100210130101 = 919 ⋅109042579.

It can be written as a sum of positive squares in 2 ways, for example, as 33626390625 + 67404621376 = 183375^2 + 259624^2 .

It is a cyclic number.

It is not a de Polignac number, because 101031012001 - 2¹ = 101031011999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101031012101) 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, 13645450 + ... + 13652851.

It is an arithmetic number, because the mean of its divisors is an integer number (25264578501).

Almost surely, 2^101031012001 is an apocalyptic number.

It is an amenable number.

101031012001 is a deficient number, since it is larger than the sum of its proper divisors (27302003).

101031012001 is an equidigital number, since it uses as much as digits as its factorization.

101031012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27302002.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101031012001 its reverse (100210130101), we get a palindrome (201241142102).

The spelling of 101031012001 in words is "one hundred one billion, thirty-one million, twelve thousand, one".