2100100201121 has 16 divisors (see below), whose sum is σ = 2275199413200. Its totient is φ = 1938408735744.

The previous prime is 2100100201079. The next prime is 2100100201139. The reversal of 2100100201121 is 1211020010012.

It can be written as a sum of positive squares in 8 ways, for example, as 1734057050896 + 366043150225 = 1316836^2 + 605015^2 .

It is not a de Polignac number, because 2100100201121 - 2¹⁴ = 2100100184737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100100201151) 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, 38923655 + ... + 38977571.

It is an arithmetic number, because the mean of its divisors is an integer number (142199963325).

Almost surely, 2^{2100100201121} is an apocalyptic number.

It is an amenable number.

2100100201121 is a deficient number, since it is larger than the sum of its proper divisors (175099212079).

2100100201121 is an equidigital number, since it uses as much as digits as its factorization.

2100100201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71685 (or 71659 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2100100201121 its reverse (1211020010012), we get a palindrome (3311120211133).

The spelling of 2100100201121 in words is "two trillion, one hundred billion, one hundred million, two hundred one thousand, one hundred twenty-one".