10221120220319 has 8 divisors (see below), whose sum is σ = 10254157175808. Its totient is φ = 10188084365560.

The previous prime is 10221120220307. The next prime is 10221120220327. The reversal of 10221120220319 is 91302202112201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10221120220319 - 2⁴ = 10221120220303 is a prime.

It is a super-2 number, since 2×10221120220319² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221120240319) 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, 20971454 + ... + 21453300.

It is an arithmetic number, because the mean of its divisors is an integer number (1281769646976).

Almost surely, 2^{10221120220319} is an apocalyptic number.

10221120220319 is a deficient number, since it is larger than the sum of its proper divisors (33036955489).

10221120220319 is an equidigital number, since it uses as much as digits as its factorization.

10221120220319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550365.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 10221120220319 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty million, two hundred twenty thousand, three hundred nineteen".