100221121122000 has 640 divisors, whose sum is σ = 345444792975360. Its totient is φ = 24909786316800.

The previous prime is 100221121121929. The next prime is 100221121122049. The reversal of 100221121122000 is 221121122001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7370819202 + ... + 7370832798.

It is an arithmetic number, because the mean of its divisors is an integer number (539757489024).

Almost surely, 2^{100221121122000} is an apocalyptic number.

100221121122000 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 100221121122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172722396487680).

100221121122000 is an abundant number, since it is smaller than the sum of its proper divisors (245223671853360).

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

100221121122000 is a wasteful number, since it uses less digits than its factorization.

100221121122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14336 (or 14320 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100221121122000 its reverse (221121122001), we get a palindrome (100442242244001).

Subtracting from 100221121122000 its reverse (221121122001), we obtain a palindrome (99999999999999).

The spelling of 100221121122000 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand".