2122002000111 has 64 divisors (see below), whose sum is σ = 3303020851200. Its totient is φ = 1186635141120.

The previous prime is 2122002000109. The next prime is 2122002000137. The reversal of 2122002000111 is 1110002002212.

It is not a de Polignac number, because 2122002000111 - 2¹ = 2122002000109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122002000191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1028599066 + ... + 1028601128.

It is an arithmetic number, because the mean of its divisors is an integer number (51609700800).

Almost surely, 2^{2122002000111} is an apocalyptic number.

2122002000111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2122002000111 is a deficient number, since it is larger than the sum of its proper divisors (1181018851089).

2122002000111 is a wasteful number, since it uses less digits than its factorization.

2122002000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056.

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

Adding to 2122002000111 its reverse (1110002002212), we get a palindrome (3232004002323).

The spelling of 2122002000111 in words is "two trillion, one hundred twenty-two billion, two million, one hundred eleven", and thus it is an aban number.