10001221112000 has 112 divisors (see below), whose sum is σ = 24774684105600. Its totient is φ = 3999412736000.

The previous prime is 10001221111997. The next prime is 10001221112011. The reversal of 10001221112000 is 21112210001.

It is a super-2 number, since 2×10001221112000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29921801 + ... + 30254199.

Almost surely, 2^{10001221112000} is an apocalyptic number.

10001221112000 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 10001221112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12387342052800).

10001221112000 is an abundant number, since it is smaller than the sum of its proper divisors (14773462993600).

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

10001221112000 is an equidigital number, since it uses as much as digits as its factorization.

10001221112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336187 (or 336167 counting only the distinct ones).

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

Adding to 10001221112000 its reverse (21112210001), we get a palindrome (10022333322001).

The spelling of 10001221112000 in words is "ten trillion, one billion, two hundred twenty-one million, one hundred twelve thousand".