10210131100001 has 24 divisors (see below), whose sum is σ = 11921543720424. Its totient is φ = 8718797955840.

The previous prime is 10210131099979. The next prime is 10210131100049. The reversal of 10210131100001 is 10000113101201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 375327769600 + 9834803330401 = 612640^2 + 3136049^2 .

It is not a de Polignac number, because 10210131100001 - 2¹⁴ = 10210131083617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10210131100601) 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, 78321791 + ... + 78452043.

It is an arithmetic number, because the mean of its divisors is an integer number (496730988351).

Almost surely, 2^{10210131100001} is an apocalyptic number.

It is an amenable number.

10210131100001 is a deficient number, since it is larger than the sum of its proper divisors (1711412620423).

10210131100001 is a wasteful number, since it uses less digits than its factorization.

10210131100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136241 (or 136234 counting only the distinct ones).

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

Adding to 10210131100001 its reverse (10000113101201), we get a palindrome (20210244201202).

The spelling of 10210131100001 in words is "ten trillion, two hundred ten billion, one hundred thirty-one million, one hundred thousand, one".