2222101112000 has 672 divisors, whose sum is σ = 6939947064960. Its totient is φ = 689897472000.

The previous prime is 2222101111999. The next prime is 2222101112017. The reversal of 2222101112000 is 2111012222.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2391927536 + ... + 2391928464.

It is an arithmetic number, because the mean of its divisors is an integer number (10327302180).

Almost surely, 2^{2222101112000} is an apocalyptic number.

2222101112000 is a gapful number since it is divisible by the number (20) 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 2222101112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469973532480).

2222101112000 is an abundant number, since it is smaller than the sum of its proper divisors (4717845952960).

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

2222101112000 is a wasteful number, since it uses less digits than its factorization.

2222101112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1307 counting only the distinct ones).

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

Adding to 2222101112000 its reverse (2111012222), we get a palindrome (2224212124222).

The spelling of 2222101112000 in words is "two trillion, two hundred twenty-two billion, one hundred one million, one hundred twelve thousand".