2100220002221 has 6 divisors (see below), whose sum is σ = 2308506283566. Its totient is φ = 1909290911000.

The previous prime is 2100220002187. The next prime is 2100220002229. The reversal of 2100220002221 is 1222000220012.

It can be written as a sum of positive squares in only one way, i.e., 1551344980900 + 548875021321 = 1245530^2 + 740861^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2100220002221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100220002196 and 2100220002205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100220002229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8678594930 + ... + 8678595171.

It is an arithmetic number, because the mean of its divisors is an integer number (384751047261).

Almost surely, 2^{2100220002221} is an apocalyptic number.

It is an amenable number.

2100220002221 is a deficient number, since it is larger than the sum of its proper divisors (208286281345).

2100220002221 is a wasteful number, since it uses less digits than its factorization.

2100220002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17357190123 (or 17357190112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2100220002221 its reverse (1222000220012), we get a palindrome (3322220222233).

The spelling of 2100220002221 in words is "two trillion, one hundred billion, two hundred twenty million, two thousand, two hundred twenty-one".