100010222112000 has 576 divisors, whose sum is σ = 341294806944000. Its totient is φ = 25938490982400.

The previous prime is 100010222111993. The next prime is 100010222112013. The reversal of 100010222112000 is 211222010001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 14559644566 + ... + 14559651434.

It is an arithmetic number, because the mean of its divisors is an integer number (592525706500).

Almost surely, 2^{100010222112000} is an apocalyptic number.

100010222112000 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 100010222112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170647403472000).

100010222112000 is an abundant number, since it is smaller than the sum of its proper divisors (241284584832000).

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

100010222112000 is an equidigital number, since it uses as much as digits as its factorization.

100010222112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11039 (or 11015 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100010222112000 its reverse (211222010001), we get a palindrome (100221444122001).

The spelling of 100010222112000 in words is "one hundred trillion, ten billion, two hundred twenty-two million, one hundred twelve thousand".