2100122110021 has 8 divisors (see below), whose sum is σ = 2261898531704. Its totient is φ = 1938378340800.

The previous prime is 2100122109991. The next prime is 2100122110043. The reversal of 2100122110021 is 1200112210012.

It can be written as a sum of positive squares in 4 ways, for example, as 172914588900 + 1927207521121 = 415830^2 + 1388239^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2100122110021 - 2¹⁹ = 2100121585733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100122109983 and 2100122110010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100122110081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8029446 + ... + 8286871.

It is an arithmetic number, because the mean of its divisors is an integer number (282737316463).

Almost surely, 2^{2100122110021} is an apocalyptic number.

It is an amenable number.

2100122110021 is a deficient number, since it is larger than the sum of its proper divisors (161776421683).

2100122110021 is a wasteful number, since it uses less digits than its factorization.

2100122110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16326231.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2100122110021 its reverse (1200112210012), we get a palindrome (3300234320033).

Subtracting from 2100122110021 its reverse (1200112210012), we obtain a palindrome (900009900009).

The spelling of 2100122110021 in words is "two trillion, one hundred billion, one hundred twenty-two million, one hundred ten thousand, twenty-one".