100122011122122 has 384 divisors, whose sum is σ = 253442140323840. Its totient is φ = 28282310784000.

The previous prime is 100122011122093. The next prime is 100122011122139. The reversal of 100122011122122 is 221221110221001.

It is a super-3 number, since 3×100122011122122³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 = 100122011122095 and 100122011122104.

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, 17024654622 + ... + 17024660502.

It is an arithmetic number, because the mean of its divisors is an integer number (660005573760).

Almost surely, 2^{100122011122122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122011122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126721070161920).

100122011122122 is an abundant number, since it is smaller than the sum of its proper divisors (153320129201718).

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

100122011122122 is a wasteful number, since it uses less digits than its factorization.

100122011122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6930 (or 6927 counting only the distinct ones).

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

Adding to 100122011122122 its reverse (221221110221001), we get a palindrome (321343121343123).

The spelling of 100122011122122 in words is "one hundred trillion, one hundred twenty-two billion, eleven million, one hundred twenty-two thousand, one hundred twenty-two".