100122122222000 has 320 divisors, whose sum is σ = 244688902907904. Its totient is φ = 39622609587200.

The previous prime is 100122122221993. The next prime is 100122122222021. The reversal of 100122122222000 is 222221221001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100122122222000.

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, 101853633509 + ... + 101853634491.

Almost surely, 2^{100122122222000} is an apocalyptic number.

100122122222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122122222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122344451453952).

100122122222000 is an abundant number, since it is smaller than the sum of its proper divisors (144566780685904).

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

100122122222000 is a wasteful number, since it uses less digits than its factorization.

100122122222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 100122122222000 its reverse (222221221001), we get a palindrome (100344343443001).

The spelling of 100122122222000 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty-two thousand".