212100111120 has 160 divisors (see below), whose sum is σ = 662867573760. Its totient is φ = 56099980800.

The previous prime is 212100111109. The next prime is 212100111137. The reversal of 212100111120 is 21111001212.

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

It is a junction number, because it is equal to n+sod(n) for n = 212100111096 and 212100111105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45600795 + ... + 45605445.

It is an arithmetic number, because the mean of its divisors is an integer number (4142922336).

Almost surely, 2^212100111120 is an apocalyptic number.

212100111120 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 212100111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331433786880).

212100111120 is an abundant number, since it is smaller than the sum of its proper divisors (450767462640).

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

212100111120 is a wasteful number, since it uses less digits than its factorization.

212100111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6173 (or 6167 counting only the distinct ones).

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

Adding to 212100111120 its reverse (21111001212), we get a palindrome (233211112332).

The spelling of 212100111120 in words is "two hundred twelve billion, one hundred million, one hundred eleven thousand, one hundred twenty".