122100222121122 has 96 divisors (see below), whose sum is σ = 296485410945024. Its totient is φ = 33361727968800.

The previous prime is 122100222121109. The next prime is 122100222121139. The reversal of 122100222121122 is 221121222001221.

122100222121122 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 29077797 + ... + 33010887.

It is an arithmetic number, because the mean of its divisors is an integer number (3088389697344).

Almost surely, 2^{122100222121122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122100222121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148242705472512).

122100222121122 is an abundant number, since it is smaller than the sum of its proper divisors (174385188823902).

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

122100222121122 is a wasteful number, since it uses less digits than its factorization.

122100222121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937724 (or 3937717 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122100222121122 its reverse (221121222001221), we get a palindrome (343221444122343).

The spelling of 122100222121122 in words is "one hundred twenty-two trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-two".