111202101022122 has 144 divisors (see below), whose sum is σ = 270158282155944. Its totient is φ = 33021504172800.

The previous prime is 111202101022099. The next prime is 111202101022141. The reversal of 111202101022122 is 221220101202111.

It can be written as a sum of positive squares in 4 ways, for example, as 111139646513841 + 62454508281 = 10542279^2 + 249909^2 .

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 = 111202101022095 and 111202101022104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94184628 + ... + 95358000.

Almost surely, 2^{111202101022122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111202101022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135079141077972).

111202101022122 is an abundant number, since it is smaller than the sum of its proper divisors (158956181133822).

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

111202101022122 is a wasteful number, since it uses less digits than its factorization.

111202101022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174277 (or 1174263 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111202101022122 its reverse (221220101202111), we get a palindrome (332422202224233).

The spelling of 111202101022122 in words is "one hundred eleven trillion, two hundred two billion, one hundred one million, twenty-two thousand, one hundred twenty-two".