10022221121319 has 96 divisors (see below), whose sum is σ = 16130350139904. Its totient is φ = 5944756496640.

The previous prime is 10022221121309. The next prime is 10022221121371. The reversal of 10022221121319 is 91312112222001.

10022221121319 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 221 + 121 + 319 = 666.

It is not a de Polignac number, because 10022221121319 - 2¹⁶ = 10022221055783 is a prime.

It is a super-2 number, since 2×10022221121319² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022221121292 and 10022221121301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022221121309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6122308969 + ... + 6122310605.

It is an arithmetic number, because the mean of its divisors is an integer number (168024480624).

Almost surely, 2^{10022221121319} is an apocalyptic number.

10022221121319 is a deficient number, since it is larger than the sum of its proper divisors (6108129018585).

10022221121319 is a wasteful number, since it uses less digits than its factorization.

10022221121319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 10022221121319 in words is "ten trillion, twenty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, three hundred nineteen".