100111202122122 has 24 divisors (see below), whose sum is σ = 218161405787364. Its totient is φ = 33177508216704.

The previous prime is 100111202122093. The next prime is 100111202122123. The reversal of 100111202122122 is 221221202111001.

It can be written as a sum of positive squares in 2 ways, for example, as 72097777263681 + 28013424858441 = 8491041^2 + 5292771^2 .

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 = 100111202122095 and 100111202122104.

It is not an unprimeable number, because it can be changed into a prime (100111202122123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16074371023 + ... + 16074377250.

Almost surely, 2^{100111202122122} is an apocalyptic number.

100111202122122 is an abundant number, since it is smaller than the sum of its proper divisors (118050203665242).

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

100111202122122 is a wasteful number, since it uses less digits than its factorization.

100111202122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32148748454 (or 32148748451 counting only the distinct ones).

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

Adding to 100111202122122 its reverse (221221202111001), we get a palindrome (321332404233123).

The spelling of 100111202122122 in words is "one hundred trillion, one hundred eleven billion, two hundred two million, one hundred twenty-two thousand, one hundred twenty-two".