101220112220221 has 4 divisors (see below), whose sum is σ = 104710460917500. Its totient is φ = 97729763522944.

The previous prime is 101220112220219. The next prime is 101220112220237. The reversal of 101220112220221 is 122022211022101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 76877631104121 + 24342481116100 = 8767989^2 + 4933810^2 .

It is a cyclic number.

It is not a de Polignac number, because 101220112220221 - 2¹ = 101220112220219 is a prime.

It is a super-4 number, since 4×101220112220221⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220112220921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1745174348596 + ... + 1745174348653.

It is an arithmetic number, because the mean of its divisors is an integer number (26177615229375).

Almost surely, 2^{101220112220221} is an apocalyptic number.

It is an amenable number.

101220112220221 is a deficient number, since it is larger than the sum of its proper divisors (3490348697279).

101220112220221 is an equidigital number, since it uses as much as digits as its factorization.

101220112220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490348697278.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 101220112220221 its reverse (122022211022101), we get a palindrome (223242323242322).

The spelling of 101220112220221 in words is "one hundred one trillion, two hundred twenty billion, one hundred twelve million, two hundred twenty thousand, two hundred twenty-one".