2100201110001 has 12 divisors (see below), whose sum is σ = 3034428762820. Its totient is φ = 1399762563840.

The previous prime is 2100201109967. The next prime is 2100201110023. The reversal of 2100201110001 is 1000111020012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 780572250000 + 1319628860001 = 883500^2 + 1148751^2 .

It is not a de Polignac number, because 2100201110001 - 2⁷ = 2100201109873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100201110101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30923320 + ... + 30991161.

Almost surely, 2^{2100201110001} is an apocalyptic number.

It is an amenable number.

2100201110001 is a deficient number, since it is larger than the sum of its proper divisors (934227652819).

2100201110001 is a wasteful number, since it uses less digits than its factorization.

2100201110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61918256 (or 61918253 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2100201110001 its reverse (1000111020012), we get a palindrome (3100312130013).

The spelling of 2100201110001 in words is "two trillion, one hundred billion, two hundred one million, one hundred ten thousand, one".