2102111012221 has 16 divisors (see below), whose sum is σ = 2297220975360. Its totient is φ = 1907669949120.

The previous prime is 2102111012207. The next prime is 2102111012233. The reversal of 2102111012221 is 1222101112012.

It is a cyclic number.

It is not a de Polignac number, because 2102111012221 - 2⁷ = 2102111012093 is a prime.

It is a super-2 number, since 2×2102111012221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2102111012195 and 2102111012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102111012321) 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, 93237676 + ... + 93260218.

It is an arithmetic number, because the mean of its divisors is an integer number (143576310960).

Almost surely, 2^{2102111012221} is an apocalyptic number.

It is an amenable number.

2102111012221 is a deficient number, since it is larger than the sum of its proper divisors (195109963139).

2102111012221 is a wasteful number, since it uses less digits than its factorization.

2102111012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36996.

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

Adding to 2102111012221 its reverse (1222101112012), we get a palindrome (3324212124233).

The spelling of 2102111012221 in words is "two trillion, one hundred two billion, one hundred eleven million, twelve thousand, two hundred twenty-one".