210112002101000 has 32 divisors (see below), whose sum is σ = 491662084918680. Its totient is φ = 84044800840000.

The previous prime is 210112002100999. The next prime is 210112002101009. The reversal of 210112002101000 is 101200211012.

210112002101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 101074591459396 + 109037410641604 = 10053586^2 + 10442098^2 .

It is not an unprimeable number, because it can be changed into a prime (210112002101009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105056000051 + ... + 105056002050.

Almost surely, 2^{210112002101000} is an apocalyptic number.

210112002101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210112002101000 is an abundant number, since it is smaller than the sum of its proper divisors (281550082817680).

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

210112002101000 is a wasteful number, since it uses less digits than its factorization.

210112002101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210112002122 (or 210112002108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 210112002101000 its reverse (101200211012), we get a palindrome (210213202312012).

The spelling of 210112002101000 in words is "two hundred ten trillion, one hundred twelve billion, two million, one hundred one thousand".