2111011202112 has 672 divisors, whose sum is σ = 6602970182400. Its totient is φ = 591322152960.

The previous prime is 2111011202101. The next prime is 2111011202123. The reversal of 2111011202112 is 2112021101112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2111011202101) and next prime (2111011202123).

It is a junction number, because it is equal to n+sod(n) for n = 2111011202091 and 2111011202100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2092181064 + ... + 2092182072.

Almost surely, 2^{2111011202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111011202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301485091200).

2111011202112 is an abundant number, since it is smaller than the sum of its proper divisors (4491958980288).

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

2111011202112 is a wasteful number, since it uses less digits than its factorization.

2111011202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2111011202112 its reverse (2112021101112), we get a palindrome (4223032303224).

The spelling of 2111011202112 in words is "two trillion, one hundred eleven billion, eleven million, two hundred two thousand, one hundred twelve".