122201002100000 has 288 divisors, whose sum is σ = 304138233907200. Its totient is φ = 48326054400000.

The previous prime is 122201002099931. The next prime is 122201002100027. The reversal of 122201002100000 is 1200102221.

It is a happy number.

122201002100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3349881761 + ... + 3349918239.

It is an arithmetic number, because the mean of its divisors is an integer number (1056035534400).

Almost surely, 2^{122201002100000} is an apocalyptic number.

122201002100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122201002100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152069116953600).

122201002100000 is an abundant number, since it is smaller than the sum of its proper divisors (181937231807200).

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

122201002100000 is an equidigital number, since it uses as much as digits as its factorization.

122201002100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36894 (or 36866 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122201002100000 its reverse (1200102221), we get a palindrome (122202202202221).

The spelling of 122201002100000 in words is "one hundred twenty-two trillion, two hundred one billion, two million, one hundred thousand".