2102100201 has 32 divisors (see below), whose sum is σ = 3303400320. Its totient is φ = 1316570112.

The previous prime is 2102100191. The next prime is 2102100229. The reversal of 2102100201 is 1020012012.

2102100201 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2102100201 - 2⁹ = 2102099689 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2102100001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268326 + ... + 276048.

It is an arithmetic number, because the mean of its divisors is an integer number (103231260).

Almost surely, 2^2102100201 is an apocalyptic number.

It is an amenable number.

2102100201 is a deficient number, since it is larger than the sum of its proper divisors (1201300119).

2102100201 is a wasteful number, since it uses less digits than its factorization.

2102100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8342 (or 8336 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2102100201 is about 45848.6662946699. Note that the first 3 decimals coincide. The cubic root of 2102100201 is about 1281.0059233309.

Adding to 2102100201 its reverse (1020012012), we get a palindrome (3122112213).

The spelling of 2102100201 in words is "two billion, one hundred two million, one hundred thousand, two hundred one".