221010112000 has 80 divisors (see below), whose sum is σ = 551102686992. Its totient is φ = 88404019200.

The previous prime is 221010111997. The next prime is 221010112003. The reversal of 221010112000 is 211010122.

It is an interprime number because it is at equal distance from previous prime (221010111997) and next prime (221010112003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221010112003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1662642 + ... + 1790641.

Almost surely, 2^221010112000 is an apocalyptic number.

221010112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010112000 is an abundant number, since it is smaller than the sum of its proper divisors (330092574992).

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

221010112000 is an frugal number, since it uses more digits than its factorization.

221010112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453316 (or 3453290 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 221010112000 its reverse (211010122), we get a palindrome (221221122122).

The spelling of 221010112000 in words is "two hundred twenty-one billion, ten million, one hundred twelve thousand".