10222201112000 has 224 divisors, whose sum is σ = 25588530317376. Its totient is φ = 4044817920000.

The previous prime is 10222201111963. The next prime is 10222201112023. The reversal of 10222201112000 is 21110222201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1031811047 + ... + 1031820953.

Almost surely, 2^{10222201112000} is an apocalyptic number.

10222201112000 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 10222201112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12794265158688).

10222201112000 is an abundant number, since it is smaller than the sum of its proper divisors (15366329205376).

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

10222201112000 is a wasteful number, since it uses less digits than its factorization.

10222201112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11312 (or 11292 counting only the distinct ones).

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

Adding to 10222201112000 its reverse (21110222201), we get a palindrome (10243311334201).

The spelling of 10222201112000 in words is "ten trillion, two hundred twenty-two billion, two hundred one million, one hundred twelve thousand".