2100122101 has 12 divisors (see below), whose sum is σ = 2638170976. Its totient is φ = 1636458120.

The previous prime is 2100122077. The next prime is 2100122119. The reversal of 2100122101 is 1012210012.

It is not a de Polignac number, because 2100122101 - 2⁵ = 2100122069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100122201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1238895 + ... + 1240588.

Almost surely, 2^2100122101 is an apocalyptic number.

It is an amenable number.

2100122101 is a deficient number, since it is larger than the sum of its proper divisors (538048875).

2100122101 is a wasteful number, since it uses less digits than its factorization.

2100122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479512 (or 2479501 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2100122101 is about 45827.0891613247. The cubic root of 2100122101 is about 1280.6039835536.

Adding to 2100122101 its reverse (1012210012), we get a palindrome (3112332113).

The spelling of 2100122101 in words is "two billion, one hundred million, one hundred twenty-two thousand, one hundred one".