100221210100000 has 576 divisors, whose sum is σ = 286925451845760. Its totient is φ = 34052659200000.

The previous prime is 100221210099973. The next prime is 100221210100003. The reversal of 100221210100000 is 1012122001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 100221210100000.

It is not an unprimeable number, because it can be changed into a prime (100221210100003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2599280722 + ... + 2599319278.

It is an arithmetic number, because the mean of its divisors is an integer number (498134465010).

Almost surely, 2^{100221210100000} is an apocalyptic number.

100221210100000 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 100221210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143462725922880).

100221210100000 is an abundant number, since it is smaller than the sum of its proper divisors (186704241745760).

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

100221210100000 is a wasteful number, since it uses less digits than its factorization.

100221210100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38759 (or 38731 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100221210100000 its reverse (1012122001), we get a palindrome (100222222222001).

The spelling of 100221210100000 in words is "one hundred trillion, two hundred twenty-one billion, two hundred ten million, one hundred thousand".