100122120222000 has 160 divisors (see below), whose sum is σ = 322816594885824. Its totient is φ = 26697339648000.

The previous prime is 100122120221983. The next prime is 100122120222011. The reversal of 100122120222000 is 222021221001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85101762 + ... + 86270238.

Almost surely, 2^{100122120222000} is an apocalyptic number.

100122120222000 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 100122120222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161408297442912).

100122120222000 is an abundant number, since it is smaller than the sum of its proper divisors (222694474663824).

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

100122120222000 is a wasteful number, since it uses less digits than its factorization.

100122120222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182784 (or 1182768 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100122120222000 its reverse (222021221001), we get a palindrome (100344141443001).

Subtracting from 100122120222000 its reverse (222021221001), we obtain a palindrome (99900099000999).

The spelling of 100122120222000 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty million, two hundred twenty-two thousand".