10102110011201 has 16 divisors (see below), whose sum is σ = 10991691745104. Its totient is φ = 9228605128704.

The previous prime is 10102110011173. The next prime is 10102110011209. The reversal of 10102110011201 is 10211001120101.

It can be written as a sum of positive squares in 8 ways, for example, as 1371887468176 + 8730222543025 = 1171276^2 + 2954695^2 .

It is not a de Polignac number, because 10102110011201 - 2¹⁰ = 10102110010177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102110011209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48157595 + ... + 48366911.

It is an arithmetic number, because the mean of its divisors is an integer number (686980734069).

Almost surely, 2^{10102110011201} is an apocalyptic number.

It is an amenable number.

10102110011201 is a deficient number, since it is larger than the sum of its proper divisors (889581733903).

10102110011201 is a wasteful number, since it uses less digits than its factorization.

10102110011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247700.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10102110011201 its reverse (10211001120101), we get a palindrome (20313111131302).

The spelling of 10102110011201 in words is "ten trillion, one hundred two billion, one hundred ten million, eleven thousand, two hundred one".