101122000122 has 128 divisors (see below), whose sum is σ = 243007672320. Its totient is φ = 27649440000.

The previous prime is 101122000097. The next prime is 101122000139. The reversal of 101122000122 is 221000221101.

It is a junction number, because it is equal to n+sod(n) for n = 101122000098 and 101122000107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6838597 + ... + 6853367.

It is an arithmetic number, because the mean of its divisors is an integer number (1898497440).

Almost surely, 2^101122000122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121503836160).

101122000122 is an abundant number, since it is smaller than the sum of its proper divisors (141885672198).

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

101122000122 is a wasteful number, since it uses less digits than its factorization.

101122000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14980.

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

Adding to 101122000122 its reverse (221000221101), we get a palindrome (322122221223).

The spelling of 101122000122 in words is "one hundred one billion, one hundred twenty-two million, one hundred twenty-two", and thus it is an aban number.