122100100122 has 384 divisors, whose sum is σ = 349454746368. Its totient is φ = 27927244800.

The previous prime is 122100100079. The next prime is 122100100141. The reversal of 122100100122 is 221001001221.

It is a junction number, because it is equal to n+sod(n) for n = 122100100098 and 122100100107.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82443622 + ... + 82445102.

It is an arithmetic number, because the mean of its divisors is an integer number (910038402).

Almost surely, 2^122100100122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122100100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174727373184).

122100100122 is an abundant number, since it is smaller than the sum of its proper divisors (227354646246).

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

122100100122 is a wasteful number, since it uses less digits than its factorization.

122100100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122100100122 its reverse (221001001221), we get a palindrome (343101101343).

It can be divided in two parts, 122100 and 100122, that added together give a palindrome (222222).

The spelling of 122100100122 in words is "one hundred twenty-two billion, one hundred million, one hundred thousand, one hundred twenty-two".