2011122111100 has 18 divisors (see below), whose sum is σ = 4364134981304. Its totient is φ = 804448844400.

The previous prime is 2011122111091. The next prime is 2011122111133. The reversal of 2011122111100 is 11112211102.

It is a happy number.

It is a super-2 number, since 2×2011122111100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10055610456 + ... + 10055610655.

Almost surely, 2^{2011122111100} is an apocalyptic number.

2011122111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011122111100 is an abundant number, since it is smaller than the sum of its proper divisors (2353012870204).

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

2011122111100 is a wasteful number, since it uses less digits than its factorization.

2011122111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20111221125 (or 20111221118 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2011122111100 its reverse (11112211102), we get a palindrome (2022234322202).

The spelling of 2011122111100 in words is "two trillion, eleven billion, one hundred twenty-two million, one hundred eleven thousand, one hundred".