100221000110000 has 400 divisors, whose sum is σ = 302698104200448. Its totient is φ = 31219171200000.

The previous prime is 100221000109981. The next prime is 100221000110017. The reversal of 100221000110000 is 11000122001.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100221000110000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1326672230 + ... + 1326747770.

Almost surely, 2^{100221000110000} is an apocalyptic number.

100221000110000 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 100221000110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151349052100224).

100221000110000 is an abundant number, since it is smaller than the sum of its proper divisors (202477104090448).

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

100221000110000 is a wasteful number, since it uses less digits than its factorization.

100221000110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77310 (or 77289 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100221000110000 its reverse (11000122001), we get a palindrome (100232000232001).

The spelling of 100221000110000 in words is "one hundred trillion, two hundred twenty-one billion, one hundred ten thousand".