2100010100001 has 16 divisors (see below), whose sum is σ = 3081591656640. Its totient is φ = 1261470264320.

The previous prime is 2100010099963. The next prime is 2100010100003. The reversal of 2100010100001 is 1000010100012.

It is a cyclic number.

It is not a de Polignac number, because 2100010100001 - 2¹⁷ = 2100009968929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2100010100003) 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, 281574456 + ... + 281581913.

It is an arithmetic number, because the mean of its divisors is an integer number (192599478540).

Almost surely, 2^{2100010100001} is an apocalyptic number.

It is an amenable number.

2100010100001 is a deficient number, since it is larger than the sum of its proper divisors (981581556639).

2100010100001 is a wasteful number, since it uses less digits than its factorization.

2100010100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563156496.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 2100010100001 its reverse (1000010100012), we get a palindrome (3100020200013).

The spelling of 2100010100001 in words is "two trillion, one hundred billion, ten million, one hundred thousand, one".