2102120112001 has 24 divisors (see below), whose sum is σ = 2633769336744. Its totient is φ = 1662998561280.

The previous prime is 2102120111981. The next prime is 2102120112013. The reversal of 2102120112001 is 1002110212012.

It can be written as a sum of positive squares in 4 ways, for example, as 1198479752001 + 903640360000 = 1094751^2 + 950600^2 .

It is not a de Polignac number, because 2102120112001 - 2⁵ = 2102120111969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (2102120112041) 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, 4752411 + ... + 5175871.

It is an arithmetic number, because the mean of its divisors is an integer number (109740389031).

Almost surely, 2^{2102120112001} is an apocalyptic number.

It is an amenable number.

2102120112001 is a deficient number, since it is larger than the sum of its proper divisors (531649224743).

2102120112001 is a wasteful number, since it uses less digits than its factorization.

2102120112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431281 (or 431274 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2102120112001 its reverse (1002110212012), we get a palindrome (3104230324013).

The spelling of 2102120112001 in words is "two trillion, one hundred two billion, one hundred twenty million, one hundred twelve thousand, one".