2101100002221 has 16 divisors (see below), whose sum is σ = 3056177487168. Its totient is φ = 1273380595200.

The previous prime is 2101100002189. The next prime is 2101100002241. The reversal of 2101100002221 is 1222000011012.

It is not a de Polignac number, because 2101100002221 - 2⁵ = 2101100002189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101100002197 and 2101100002206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101100002241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3530955 + ... + 4082871.

It is an arithmetic number, because the mean of its divisors is an integer number (191011092948).

Almost surely, 2^{2101100002221} is an apocalyptic number.

It is an amenable number.

2101100002221 is a deficient number, since it is larger than the sum of its proper divisors (955077484947).

2101100002221 is a wasteful number, since it uses less digits than its factorization.

2101100002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667292.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2101100002221 its reverse (1222000011012), we get a palindrome (3323100013233).

The spelling of 2101100002221 in words is "two trillion, one hundred one billion, one hundred million, two thousand, two hundred twenty-one".