221112201320100 has 54 divisors (see below), whose sum is σ = 693063911029490. Its totient is φ = 58963253685120.

The previous prime is 221112201320089. The next prime is 221112201320167. The reversal of 221112201320100 is 1023102211122.

221112201320100 is a `hidden beast` number, since 2 + 2 + 111 + 220 + 1 + 320 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6350914090404 + 214761287229696 = 2520102^2 + 14654736^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 122840110945 + ... + 122840112744.

Almost surely, 2^{221112201320100} is an apocalyptic number.

221112201320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112201320100 is an abundant number, since it is smaller than the sum of its proper divisors (471951709709390).

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

221112201320100 is a wasteful number, since it uses less digits than its factorization.

221112201320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245680223709 (or 245680223699 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 221112201320100 its reverse (1023102211122), we get a palindrome (222135303531222).

The spelling of 221112201320100 in words is "two hundred twenty-one trillion, one hundred twelve billion, two hundred one million, three hundred twenty thousand, one hundred".