122012321200100 has 72 divisors (see below), whose sum is σ = 266262720423336. Its totient is φ = 48529238400000.

The previous prime is 122012321200061. The next prime is 122012321200169. The reversal of 122012321200100 is 1002123210221.

It can be written as a sum of positive squares in 12 ways, for example, as 29294333555776 + 92717987644324 = 5412424^2 + 9629018^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146212040 + ... + 147044160.

It is an arithmetic number, because the mean of its divisors is an integer number (3698093339213).

Almost surely, 2^{122012321200100} is an apocalyptic number.

122012321200100 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 122012321200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133131360211668).

122012321200100 is an abundant number, since it is smaller than the sum of its proper divisors (144250399223236).

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

122012321200100 is a wasteful number, since it uses less digits than its factorization.

122012321200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840417 (or 840410 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122012321200100 its reverse (1002123210221), we get a palindrome (123014444410321).

The spelling of 122012321200100 in words is "one hundred twenty-two trillion, twelve billion, three hundred twenty-one million, two hundred thousand, one hundred".