221101112211220 has 24 divisors (see below), whose sum is σ = 465224540646600. Its totient is φ = 88266691550592.

The previous prime is 221101112211211. The next prime is 221101112211229. The reversal of 221101112211220 is 22112211101122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221101112211211) and next prime (221101112211229).

It can be written as a sum of positive squares in 4 ways, for example, as 28041536521476 + 193059575689744 = 5295426^2 + 13894588^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221101112211229) 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, 10859572935 + ... + 10859593294.

It is an arithmetic number, because the mean of its divisors is an integer number (19384355860275).

Almost surely, 2^{221101112211220} is an apocalyptic number.

221101112211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221101112211220 is an abundant number, since it is smaller than the sum of its proper divisors (244123428435380).

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

221101112211220 is a wasteful number, since it uses less digits than its factorization.

221101112211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21719166747 (or 21719166745 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 221101112211220 its reverse (22112211101122), we get a palindrome (243213323312342).

The spelling of 221101112211220 in words is "two hundred twenty-one trillion, one hundred one billion, one hundred twelve million, two hundred eleven thousand, two hundred twenty".