2112110012100 has 72 divisors (see below), whose sum is σ = 6666587248608. Its totient is φ = 512026668800.

The previous prime is 2112110012071. The next prime is 2112110012101. The reversal of 2112110012100 is 12100112112.

It is a super-2 number, since 2×2112110012100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2112110012101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320013369 + ... + 320019968.

It is an arithmetic number, because the mean of its divisors is an integer number (92591489564).

Almost surely, 2^{2112110012100} is an apocalyptic number.

2112110012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112110012100 is an abundant number, since it is smaller than the sum of its proper divisors (4554477236508).

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

2112110012100 is a wasteful number, since it uses less digits than its factorization.

2112110012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640033365 (or 640033358 counting only the distinct ones).

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

Adding to 2112110012100 its reverse (12100112112), we get a palindrome (2124210124212).

The spelling of 2112110012100 in words is "two trillion, one hundred twelve billion, one hundred ten million, twelve thousand, one hundred".