2011011122100 has 72 divisors (see below), whose sum is σ = 5860996622208. Its totient is φ = 532355244800.

The previous prime is 2011011122069. The next prime is 2011011122111. The reversal of 2011011122100 is 12211101102.

It is a super-2 number, since 2×2011011122100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24423756 + ... + 24505955.

It is an arithmetic number, because the mean of its divisors is an integer number (81402730864).

Almost surely, 2^{2011011122100} is an apocalyptic number.

2011011122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011011122100 is an abundant number, since it is smaller than the sum of its proper divisors (3849985500108).

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

2011011122100 is a wasteful number, since it uses less digits than its factorization.

2011011122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48929865 (or 48929858 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2011011122100 its reverse (12211101102), we get a palindrome (2023222223202).

The spelling of 2011011122100 in words is "two trillion, eleven billion, eleven million, one hundred twenty-two thousand, one hundred".