2111100210120 has 256 divisors, whose sum is σ = 7090990387200. Its totient is φ = 498476943360.

The previous prime is 2111100210097. The next prime is 2111100210133. The reversal of 2111100210120 is 210120011112.

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 = 2111100210096 and 2111100210105.

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, 7737057 + ... + 8005263.

It is an arithmetic number, because the mean of its divisors is an integer number (27699181200).

Almost surely, 2^{2111100210120} is an apocalyptic number.

2111100210120 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 2111100210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545495193600).

2111100210120 is an abundant number, since it is smaller than the sum of its proper divisors (4979890177080).

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

2111100210120 is a wasteful number, since it uses less digits than its factorization.

2111100210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268388 (or 268384 counting only the distinct ones).

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

Adding to 2111100210120 its reverse (210120011112), we get a palindrome (2321220221232).

The spelling of 2111100210120 in words is "two trillion, one hundred eleven billion, one hundred million, two hundred ten thousand, one hundred twenty".