2111011122100 has 36 divisors (see below), whose sum is σ = 4580993147500. Its totient is φ = 844386197760.

The previous prime is 2111011122083. The next prime is 2111011122133. The reversal of 2111011122100 is 12211101112.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1027721502756 + 1083289619344 = 1013766^2 + 1040812^2 .

It is a super-2 number, since 2×2111011122100² (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 11 ways as a sum of consecutive naturals, for example, 5022886 + ... + 5426914.

Almost surely, 2^{2111011122100} is an apocalyptic number.

2111011122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111011122100 is an abundant number, since it is smaller than the sum of its proper divisors (2469982025400).

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

2111011122100 is a wasteful number, since it uses less digits than its factorization.

2111011122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456292 (or 456285 counting only the distinct ones).

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

Adding to 2111011122100 its reverse (12211101112), we get a palindrome (2123222223212).

The spelling of 2111011122100 in words is "two trillion, one hundred eleven billion, eleven million, one hundred twenty-two thousand, one hundred".