2100112002001 has 8 divisors (see below), whose sum is σ = 2262045043944. Its totient is φ = 1938234097920.

The previous prime is 2100112001987. The next prime is 2100112002007. The reversal of 2100112002001 is 1002002110012.

It can be written as a sum of positive squares in 4 ways, for example, as 363512526400 + 1736599475601 = 602920^2 + 1317801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2100112002001 - 2¹³ = 2100111993809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100112002007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13705336 + ... + 13857721.

It is an arithmetic number, because the mean of its divisors is an integer number (282755630493).

Almost surely, 2^{2100112002001} is an apocalyptic number.

It is an amenable number.

2100112002001 is a deficient number, since it is larger than the sum of its proper divisors (161933041943).

2100112002001 is a wasteful number, since it uses less digits than its factorization.

2100112002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27568931.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2100112002001 its reverse (1002002110012), we get a palindrome (3102114112013).

The spelling of 2100112002001 in words is "two trillion, one hundred billion, one hundred twelve million, two thousand, one".