2120112100 has 18 divisors (see below), whose sum is σ = 4600643474. Its totient is φ = 848044800.

The previous prime is 2120112097. The next prime is 2120112107. The reversal of 2120112100 is 12110212.

It can be written as a sum of positive squares in 3 ways, for example, as 614656 + 2119497444 = 784^2 + 46038^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2120112107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10600461 + ... + 10600660.

Almost surely, 2^2120112100 is an apocalyptic number.

2120112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120112100 is an abundant number, since it is smaller than the sum of its proper divisors (2480531374).

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

2120112100 is a wasteful number, since it uses less digits than its factorization.

2120112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21201135 (or 21201128 counting only the distinct ones).

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

The square root of 2120112100 is about 46044.6750450038. The cubic root of 2120112100 is about 1284.6542999563.

Adding to 2120112100 its reverse (12110212), we get a palindrome (2132222312).

It can be divided in two parts, 2120112 and 100, that added together give a palindrome (2120212).

The spelling of 2120112100 in words is "two billion, one hundred twenty million, one hundred twelve thousand, one hundred".