2100002101 has 4 divisors (see below), whose sum is σ = 2101615072. Its totient is φ = 2098389132.

The previous prime is 2100002089. The next prime is 2100002117. The reversal of 2100002101 is 1012000012.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2100002101 - 2⁷ = 2100001973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100002701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 804531 + ... + 807136.

It is an arithmetic number, because the mean of its divisors is an integer number (525403768).

Almost surely, 2^2100002101 is an apocalyptic number.

It is an amenable number.

2100002101 is a deficient number, since it is larger than the sum of its proper divisors (1612971).

2100002101 is a wasteful number, since it uses less digits than its factorization.

2100002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612970.

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2100002101 is about 45825.7798733420. The cubic root of 2100002101 is about 1280.5795920503.

Adding to 2100002101 its reverse (1012000012), we get a palindrome (3112002113).

The spelling of 2100002101 in words is "two billion, one hundred million, two thousand, one hundred one".