2102101120 has 64 divisors (see below), whose sum is σ = 5743252800. Its totient is φ = 720718848.

The previous prime is 2102101117. The next prime is 2102101213. The reversal of 2102101120 is 211012012.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2102101097 and 2102101106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230130 + ... + 239089.

It is an arithmetic number, because the mean of its divisors is an integer number (89738325).

Almost surely, 2^2102101120 is an apocalyptic number.

2102101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102101120 is an abundant number, since it is smaller than the sum of its proper divisors (3641151680).

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

2102101120 is an equidigital number, since it uses as much as digits as its factorization.

2102101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469245 (or 469233 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2102101120 is about 45848.6763167706. The cubic root of 2102101120 is about 1281.0061100084.

Adding to 2102101120 its reverse (211012012), we get a palindrome (2313113132).

The spelling of 2102101120 in words is "two billion, one hundred two million, one hundred one thousand, one hundred twenty".