2110121011100 has 72 divisors (see below), whose sum is σ = 4658558864400. Its totient is φ = 829388492800.

The previous prime is 2110121011087. The next prime is 2110121011127. The reversal of 2110121011100 is 11101210112.

It is a super-2 number, since 2×2110121011100² (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 23 ways as a sum of consecutive naturals, for example, 13972796 + ... + 14123004.

It is an arithmetic number, because the mean of its divisors is an integer number (64702206450).

Almost surely, 2^{2110121011100} is an apocalyptic number.

2110121011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110121011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329279432200).

2110121011100 is an abundant number, since it is smaller than the sum of its proper divisors (2548437853300).

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

2110121011100 is a wasteful number, since it uses less digits than its factorization.

2110121011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152663 (or 152656 counting only the distinct ones).

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

Adding to 2110121011100 its reverse (11101210112), we get a palindrome (2121222221212).

The spelling of 2110121011100 in words is "two trillion, one hundred ten billion, one hundred twenty-one million, eleven thousand, one hundred".