2221112112101 has 16 divisors (see below), whose sum is σ = 2476667419200. Its totient is φ = 1979534723328.

The previous prime is 2221112112091. The next prime is 2221112112137. The reversal of 2221112112101 is 1012112111222.

It is a cyclic number.

It is not a de Polignac number, because 2221112112101 - 2²⁶ = 2221045003237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 2221112112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221112112181) 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, 849146 + ... + 2272283.

It is an arithmetic number, because the mean of its divisors is an integer number (154791713700).

Almost surely, 2^{2221112112101} is an apocalyptic number.

It is an amenable number.

2221112112101 is a deficient number, since it is larger than the sum of its proper divisors (255555307099).

2221112112101 is a wasteful number, since it uses less digits than its factorization.

2221112112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123668.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2221112112101 its reverse (1012112111222), we get a palindrome (3233224223323).

The spelling of 2221112112101 in words is "two trillion, two hundred twenty-one billion, one hundred twelve million, one hundred twelve thousand, one hundred one".