100221122000 has 80 divisors (see below), whose sum is σ = 244600005312. Its totient is φ = 39713705600.

The previous prime is 100221121997. The next prime is 100221122021. The reversal of 100221122000 is 221122001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20162 + ... + 448161.

Almost surely, 2^100221122000 is an apocalyptic number.

100221122000 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 100221122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122300002656).

100221122000 is an abundant number, since it is smaller than the sum of its proper divisors (144378883312).

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

100221122000 is a wasteful number, since it uses less digits than its factorization.

100221122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468453 (or 468437 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100221122000 its reverse (221122001), we get a palindrome (100442244001).

Subtracting from 100221122000 its reverse (221122001), we obtain a palindrome (99999999999).

The spelling of 100221122000 in words is "one hundred billion, two hundred twenty-one million, one hundred twenty-two thousand".