2100010100201 has 16 divisors (see below), whose sum is σ = 2380841635200. Its totient is φ = 1836242898048.

The previous prime is 2100010100191. The next prime is 2100010100257. The reversal of 2100010100201 is 1020010100012.

It is not a de Polignac number, because 2100010100201 - 2¹⁰ = 2100010099177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100010100291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1788605 + ... + 2720133.

It is an arithmetic number, because the mean of its divisors is an integer number (148802602200).

Almost surely, 2^{2100010100201} is an apocalyptic number.

It is an amenable number.

2100010100201 is a deficient number, since it is larger than the sum of its proper divisors (280831534999).

2100010100201 is a wasteful number, since it uses less digits than its factorization.

2100010100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940688.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2100010100201 its reverse (1020010100012), we get a palindrome (3120020200213).

The spelling of 2100010100201 in words is "two trillion, one hundred billion, ten million, one hundred thousand, two hundred one".