2100220211021 has 8 divisors (see below), whose sum is σ = 2144530436664. Its totient is φ = 2056329987840.

The previous prime is 2100220211009. The next prime is 2100220211039. The reversal of 2100220211021 is 1201120220012.

It can be written as a sum of positive squares in 4 ways, for example, as 819839702500 + 1280380508521 = 905450^2 + 1131539^2 .

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 2100220211021 - 2¹⁴ = 2100220194637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100220210987 and 2100220211005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100220211051) 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, 104990510 + ... + 105010511.

It is an arithmetic number, because the mean of its divisors is an integer number (268066304583).

Almost surely, 2^{2100220211021} is an apocalyptic number.

It is an amenable number.

2100220211021 is a deficient number, since it is larger than the sum of its proper divisors (44310225643).

2100220211021 is a wasteful number, since it uses less digits than its factorization.

2100220211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210001231.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2100220211021 its reverse (1201120220012), we get a palindrome (3301340431033).

The spelling of 2100220211021 in words is "two trillion, one hundred billion, two hundred twenty million, two hundred eleven thousand, twenty-one".