100221103312000 has 512 divisors, whose sum is σ = 276864255532800. Its totient is φ = 35770613760000.

The previous prime is 100221103311997. The next prime is 100221103312081. The reversal of 100221103312000 is 213301122001.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 6988424830 + ... + 6988439170.

Almost surely, 2^{100221103312000} is an apocalyptic number.

100221103312000 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 100221103312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138432127766400).

100221103312000 is an abundant number, since it is smaller than the sum of its proper divisors (176643152220800).

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

100221103312000 is a wasteful number, since it uses less digits than its factorization.

100221103312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15113 (or 15091 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100221103312000 its reverse (213301122001), we get a palindrome (100434404434001).

The spelling of 100221103312000 in words is "one hundred trillion, two hundred twenty-one billion, one hundred three million, three hundred twelve thousand".