2100101120 has 272 divisors, whose sum is σ = 5945380560. Its totient is φ = 704643072.

The previous prime is 2100101117. The next prime is 2100101153. The reversal of 2100101120 is 211010012.

It can be written as a sum of positive squares in 8 ways, for example, as 23658496 + 2076442624 = 4864^2 + 45568^2 .

It is a tau number, because it is divible by the number of its divisors (272).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2100101098 and 2100101107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72417266 + ... + 72417294.

Almost surely, 2^2100101120 is an apocalyptic number.

2100101120 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 2100101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972690280).

2100101120 is an abundant number, since it is smaller than the sum of its proper divisors (3845279440).

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

2100101120 is an equidigital number, since it uses as much as digits as its factorization.

2100101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2100101120 is about 45826.8602459300. The cubic root of 2100101120 is about 1280.5997189695.

Adding to 2100101120 its reverse (211010012), we get a palindrome (2311111132).

The spelling of 2100101120 in words is "two billion, one hundred million, one hundred one thousand, one hundred twenty".