122100200202112 has 512 divisors, whose sum is σ = 286384217518080. Its totient is φ = 51325747200000.

The previous prime is 122100200202041. The next prime is 122100200202221. The reversal of 122100200202112 is 211202002001221.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39888989062 + ... + 39888992122.

It is an arithmetic number, because the mean of its divisors is an integer number (559344174840).

Almost surely, 2^{122100200202112} 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 122100200202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143192108759040).

122100200202112 is an abundant number, since it is smaller than the sum of its proper divisors (164284017315968).

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

122100200202112 is a wasteful number, since it uses less digits than its factorization.

122100200202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122100200202112 its reverse (211202002001221), we get a palindrome (333302202203333).

The spelling of 122100200202112 in words is "one hundred twenty-two trillion, one hundred billion, two hundred million, two hundred two thousand, one hundred twelve".