221101011021220 has 36 divisors (see below), whose sum is σ = 510359606437212. Its totient is φ = 80400367643200.

The previous prime is 221101011021097. The next prime is 221101011021221. The reversal of 221101011021220 is 22120110101122.

It can be written as a sum of positive squares in 2 ways, for example, as 57500948711844 + 163600062309376 = 7582938^2 + 12790624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221101011021194 and 221101011021203.

It is not an unprimeable number, because it can be changed into a prime (221101011021221) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 45682024651 + ... + 45682029490.

It is an arithmetic number, because the mean of its divisors is an integer number (14176655734367).

Almost surely, 2^{221101011021220} is an apocalyptic number.

221101011021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221101011021220 is an abundant number, since it is smaller than the sum of its proper divisors (289258595415992).

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

221101011021220 is a wasteful number, since it uses less digits than its factorization.

221101011021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91364054172 (or 91364054159 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221101011021220 its reverse (22120110101122), we get a palindrome (243221121122342).

The spelling of 221101011021220 in words is "two hundred twenty-one trillion, one hundred one billion, eleven million, twenty-one thousand, two hundred twenty".