2100111101220 has 192 divisors, whose sum is σ = 6701797751040. Its totient is φ = 486694656000.

The previous prime is 2100111101213. The next prime is 2100111101317. The reversal of 2100111101220 is 221011110012.

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 = 2100111101196 and 2100111101205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1389954 + ... + 2476326.

It is an arithmetic number, because the mean of its divisors is an integer number (34905196620).

Almost surely, 2^{2100111101220} is an apocalyptic number.

2100111101220 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 2100111101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350898875520).

2100111101220 is an abundant number, since it is smaller than the sum of its proper divisors (4601686649820).

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

2100111101220 is a wasteful number, since it uses less digits than its factorization.

2100111101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086526 (or 1086524 counting only the distinct ones).

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

Adding to 2100111101220 its reverse (221011110012), we get a palindrome (2321122211232).

The spelling of 2100111101220 in words is "two trillion, one hundred billion, one hundred eleven million, one hundred one thousand, two hundred twenty".