2100102112001 has 4 divisors (see below), whose sum is σ = 2223637530372. Its totient is φ = 1976566693632.

The previous prime is 2100102111929. The next prime is 2100102112007. The reversal of 2100102112001 is 1002112010012.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 584246209600 + 1515855902401 = 764360^2 + 1231201^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100102112001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100102112007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61767709160 + ... + 61767709193.

It is an arithmetic number, because the mean of its divisors is an integer number (555909382593).

Almost surely, 2^{2100102112001} is an apocalyptic number.

It is an amenable number.

2100102112001 is a deficient number, since it is larger than the sum of its proper divisors (123535418371).

2100102112001 is a wasteful number, since it uses less digits than its factorization.

2100102112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123535418370.

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

Adding to 2100102112001 its reverse (1002112010012), we get a palindrome (3102214122013).

The spelling of 2100102112001 in words is "two trillion, one hundred billion, one hundred two million, one hundred twelve thousand, one".