2110121111100 has 72 divisors (see below), whose sum is σ = 6270291449968. Its totient is φ = 547490880000.

The previous prime is 2110121111099. The next prime is 2110121111101. The reversal of 2110121111100 is 11111210112.

It is an interprime number because it is at equal distance from previous prime (2110121111099) and next prime (2110121111101).

It is a super-2 number, since 2×2110121111100² (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 not an unprimeable number, because it can be changed into a prime (2110121111101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95039401 + ... + 95061600.

Almost surely, 2^{2110121111100} is an apocalyptic number.

2110121111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110121111100 is an abundant number, since it is smaller than the sum of its proper divisors (4160170338868).

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

2110121111100 is a wasteful number, since it uses less digits than its factorization.

2110121111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190101055 (or 190101048 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2110121111100 its reverse (11111210112), we get a palindrome (2121232321212).

The spelling of 2110121111100 in words is "two trillion, one hundred ten billion, one hundred twenty-one million, one hundred eleven thousand, one hundred".