100211202221000 has 256 divisors, whose sum is σ = 255115147734720. Its totient is φ = 36622848000000.

The previous prime is 100211202220993. The next prime is 100211202221017. The reversal of 100211202221000 is 122202112001.

It can be written as a sum of positive squares in 32 ways, for example, as 71597625325444 + 28613576895556 = 8461538^2 + 5349166^2 .

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, 4749110450 + ... + 4749131550.

Almost surely, 2^{100211202221000} is an apocalyptic number.

100211202221000 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 100211202221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127557573867360).

100211202221000 is an abundant number, since it is smaller than the sum of its proper divisors (154903945513720).

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

100211202221000 is a wasteful number, since it uses less digits than its factorization.

100211202221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24853 (or 24839 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100211202221000 its reverse (122202112001), we get a palindrome (100333404333001).

The spelling of 100211202221000 in words is "one hundred trillion, two hundred eleven billion, two hundred two million, two hundred twenty-one thousand".