2100100011120 has 720 divisors, whose sum is σ = 7485667458048. Its totient is φ = 527215288320.

The previous prime is 2100100011077. The next prime is 2100100011143. The reversal of 2100100011120 is 211100010012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7473665380 + ... + 7473665660.

Almost surely, 2^{2100100011120} is an apocalyptic number.

2100100011120 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 2100100011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742833729024).

2100100011120 is an abundant number, since it is smaller than the sum of its proper divisors (5385567446928).

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

2100100011120 is a wasteful number, since it uses less digits than its factorization.

2100100011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2100100011120 its reverse (211100010012), we get a palindrome (2311200021132).

The spelling of 2100100011120 in words is "two trillion, one hundred billion, one hundred million, eleven thousand, one hundred twenty".