10222414324029 has 64 divisors (see below), whose sum is σ = 16144958561280. Its totient is φ = 6383285429760.

The previous prime is 10222414324027. The next prime is 10222414324037. The reversal of 10222414324029 is 92042341422201.

10222414324029 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 241 + 4 + 3 + 2 + 402 + 9 = 666.

It is not a de Polignac number, because 10222414324029 - 2¹ = 10222414324027 is a prime.

It is a super-2 number, since 2×10222414324029² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10222414323984 and 10222414324002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222414324027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1079577 + ... + 4648689.

It is an arithmetic number, because the mean of its divisors is an integer number (252264977520).

Almost surely, 2^{10222414324029} is an apocalyptic number.

It is an amenable number.

10222414324029 is a deficient number, since it is larger than the sum of its proper divisors (5922544237251).

10222414324029 is a wasteful number, since it uses less digits than its factorization.

10222414324029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569267 (or 3569261 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10222414324029 in words is "ten trillion, two hundred twenty-two billion, four hundred fourteen million, three hundred twenty-four thousand, twenty-nine".