221010022200000 has 672 divisors, whose sum is σ = 832010742904320. Its totient is φ = 51248665600000.

The previous prime is 221010022199971. The next prime is 221010022200041. The reversal of 221010022200000 is 2220010122.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151072036 + ... + 152527964.

It is an arithmetic number, because the mean of its divisors is an integer number (1238111224560).

Almost surely, 2^{221010022200000} is an apocalyptic number.

221010022200000 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 221010022200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416005371452160).

221010022200000 is an abundant number, since it is smaller than the sum of its proper divisors (611000720704320).

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

221010022200000 is a wasteful number, since it uses less digits than its factorization.

221010022200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456003 (or 1455973 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221010022200000 its reverse (2220010122), we get a palindrome (221012242210122).

The spelling of 221010022200000 in words is "two hundred twenty-one trillion, ten billion, twenty-two million, two hundred thousand".