2100212001 has 12 divisors (see below), whose sum is σ = 3036389460. Its totient is φ = 1398872160.

The previous prime is 2100211991. The next prime is 2100212029. The reversal of 2100212001 is 1002120012.

2100212001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 777071376 + 1323140625 = 27876^2 + 36375^2 .

It is not a de Polignac number, because 2100212001 - 2⁵ = 2100211969 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 (2100212071) 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, 95230 + ... + 115191.

It is an arithmetic number, because the mean of its divisors is an integer number (253032455).

Almost surely, 2^2100212001 is an apocalyptic number.

It is an amenable number.

2100212001 is a deficient number, since it is larger than the sum of its proper divisors (936177459).

2100212001 is a wasteful number, since it uses less digits than its factorization.

2100212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211536 (or 211533 counting only the distinct ones).

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

The square root of 2100212001 is about 45828.0700117297. The cubic root of 2100212001 is about 1280.6222562460.

Adding to 2100212001 its reverse (1002120012), we get a palindrome (3102332013).

It can be divided in two parts, 2 and 100212001, that multiplied together give a palindrome (200424002).

The spelling of 2100212001 in words is "two billion, one hundred million, two hundred twelve thousand, one".