210010022100096 has 256 divisors, whose sum is σ = 565478458675200. Its totient is φ = 69048706129920.

The previous prime is 210010022100041. The next prime is 210010022100101. The reversal of 210010022100096 is 690001220010012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30040051161 + ... + 30040058151.

It is an arithmetic number, because the mean of its divisors is an integer number (2208900229200).

Almost surely, 2^{210010022100096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210010022100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282739229337600).

210010022100096 is an abundant number, since it is smaller than the sum of its proper divisors (355468436575104).

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

210010022100096 is a wasteful number, since it uses less digits than its factorization.

210010022100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9107 (or 9095 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 210010022100096 in words is "two hundred ten trillion, ten billion, twenty-two million, one hundred thousand, ninety-six".