122102221210100 has 72 divisors (see below), whose sum is σ = 267763073191488. Its totient is φ = 48325637779200.

The previous prime is 122102221210069. The next prime is 122102221210103. The reversal of 122102221210100 is 1012122201221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102221210103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1873280 + ... + 15738920.

It is an arithmetic number, because the mean of its divisors is an integer number (3718931572104).

Almost surely, 2^{122102221210100} is an apocalyptic number.

122102221210100 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 122102221210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133881536595744).

122102221210100 is an abundant number, since it is smaller than the sum of its proper divisors (145660851981388).

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

122102221210100 is a wasteful number, since it uses less digits than its factorization.

122102221210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13866585 (or 13866578 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122102221210100 its reverse (1012122201221), we get a palindrome (123114343411321).

The spelling of 122102221210100 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred twenty-one million, two hundred ten thousand, one hundred".