2112111111110 has 192 divisors, whose sum is σ = 5469126324480. Its totient is φ = 575696782080.

The previous prime is 2112111111101. The next prime is 2112111111119. The reversal of 2112111111110 is 111111112112.

It is an interprime number because it is at equal distance from previous prime (2112111111101) and next prime (2112111111119).

It is a super-2 number, since 2×2112111111110² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112111111119) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 538097 + ... + 2124563.

It is an arithmetic number, because the mean of its divisors is an integer number (28485032940).

Almost surely, 2^{2112111111110} is an apocalyptic number.

2112111111110 is an abundant number, since it is smaller than the sum of its proper divisors (3357015213370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2112111111110 is a wasteful number, since it uses less digits than its factorization.

2112111111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586531 (or 1586524 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 2112111111110 its reverse (111111112112), we get a palindrome (2223222223222).

The spelling of 2112111111110 in words is "two trillion, one hundred twelve billion, one hundred eleven million, one hundred eleven thousand, one hundred ten".