100022110321122 has 160 divisors (see below), whose sum is σ = 245783251359360. Its totient is φ = 30150873285120.

The previous prime is 100022110321043. The next prime is 100022110321127. The reversal of 100022110321122 is 221123011220001.

100022110321122 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 221 + 1 + 0 + 321 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100022110321095 and 100022110321104.

It is not an unprimeable number, because it can be changed into a prime (100022110321127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 263444728 + ... + 263824124.

It is an arithmetic number, because the mean of its divisors is an integer number (1536145320996).

Almost surely, 2^{100022110321122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022110321122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122891625679680).

100022110321122 is an abundant number, since it is smaller than the sum of its proper divisors (145761141038238).

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

100022110321122 is a wasteful number, since it uses less digits than its factorization.

100022110321122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380198 (or 380189 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100022110321122 its reverse (221123011220001), we get a palindrome (321145121541123).

The spelling of 100022110321122 in words is "one hundred trillion, twenty-two billion, one hundred ten million, three hundred twenty-one thousand, one hundred twenty-two".