100022212112000 has 256 divisors, whose sum is σ = 263337274661760. Its totient is φ = 37651302400000.

The previous prime is 100022212111973. The next prime is 100022212112003. The reversal of 100022212112000 is 211212220001.

It is not an unprimeable number, because it can be changed into a prime (100022212112003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3821858915 + ... + 3821885085.

Almost surely, 2^{100022212112000} is an apocalyptic number.

100022212112000 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 100022212112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131668637330880).

100022212112000 is an abundant number, since it is smaller than the sum of its proper divisors (163315062549760).

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

100022212112000 is a wasteful number, since it uses less digits than its factorization.

100022212112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40268 (or 40246 counting only the distinct ones).

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

Adding to 100022212112000 its reverse (211212220001), we get a palindrome (100233424332001).

The spelling of 100022212112000 in words is "one hundred trillion, twenty-two billion, two hundred twelve million, one hundred twelve thousand".