100010221112000 has 896 divisors, whose sum is σ = 269498990592000. Its totient is φ = 36646583500800.

The previous prime is 100010221111973. The next prime is 100010221112041. The reversal of 100010221112000 is 211122010001.

It is a super-2 number, since 2×100010221112000² (a number of 29 digits) contains 22 as substring.

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, 244523767796 + ... + 244523768204.

Almost surely, 2^{100010221112000} is an apocalyptic number.

100010221112000 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 100010221112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134749495296000).

100010221112000 is an abundant number, since it is smaller than the sum of its proper divisors (169488769480000).

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

100010221112000 is a wasteful number, since it uses less digits than its factorization.

100010221112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100010221112000 its reverse (211122010001), we get a palindrome (100221343122001).

The spelling of 100010221112000 in words is "one hundred trillion, ten billion, two hundred twenty-one million, one hundred twelve thousand".