2100211221121 has 8 divisors (see below), whose sum is σ = 2287179032040. Its totient is φ = 1916873853312.

The previous prime is 2100211221047. The next prime is 2100211221131. The reversal of 2100211221121 is 1211221120012.

It can be written as a sum of positive squares in 4 ways, for example, as 105651001600 + 1994560219521 = 325040^2 + 1412289^2 .

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 2100211221121 - 2⁹ = 2100211220609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100211221095 and 2100211221104.

It is not an unprimeable number, because it can be changed into a prime (2100211221131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 907609570 + ... + 907611883.

It is an arithmetic number, because the mean of its divisors is an integer number (285897379005).

Almost surely, 2^{2100211221121} is an apocalyptic number.

It is an amenable number.

2100211221121 is a deficient number, since it is larger than the sum of its proper divisors (186967810919).

2100211221121 is a wasteful number, since it uses less digits than its factorization.

2100211221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815221555.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2100211221121 its reverse (1211221120012), we get a palindrome (3311432341133).

The spelling of 2100211221121 in words is "two trillion, one hundred billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty-one".