210101200122112 has 144 divisors (see below), whose sum is σ = 467373575148480. Its totient is φ = 93594357964800.

The previous prime is 210101200122089. The next prime is 210101200122169. The reversal of 210101200122112 is 211221002101012.

It is a super-2 number, since 2×210101200122112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286370787 + ... + 287103517.

It is an arithmetic number, because the mean of its divisors is an integer number (3245649827420).

Almost surely, 2^{210101200122112} 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 210101200122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233686787574240).

210101200122112 is an abundant number, since it is smaller than the sum of its proper divisors (257272375026368).

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

210101200122112 is a wasteful number, since it uses less digits than its factorization.

210101200122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735760 (or 735746 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210101200122112 its reverse (211221002101012), we get a palindrome (421322202223124).

The spelling of 210101200122112 in words is "two hundred ten trillion, one hundred one billion, two hundred million, one hundred twenty-two thousand, one hundred twelve".