2110121101100 has 72 divisors (see below), whose sum is σ = 4778959022880. Its totient is φ = 807196769280.

The previous prime is 2110121101091. The next prime is 2110121101133. The reversal of 2110121101100 is 11011210112.

It is a super-2 number, since 2×2110121101100² (a number of 25 digits) contains 22 as substring.

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, 12365156 + ... + 12534644.

Almost surely, 2^{2110121101100} is an apocalyptic number.

2110121101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110121101100 is an abundant number, since it is smaller than the sum of its proper divisors (2668837921780).

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

2110121101100 is a wasteful number, since it uses less digits than its factorization.

2110121101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174939 (or 174932 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2110121101100 its reverse (11011210112), we get a palindrome (2121132311212).

The spelling of 2110121101100 in words is "two trillion, one hundred ten billion, one hundred twenty-one million, one hundred one thousand, one hundred".