100000022193 has 12 divisors (see below), whose sum is σ = 144451581300. Its totient is φ = 66663402336.

The previous prime is 100000022191. The next prime is 100000022231. The reversal of 100000022193 is 391220000001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2925403569 + 97074618624 = 54087^2 + 311568^2 .

It is not a de Polignac number, because 100000022193 - 2¹ = 100000022191 is a prime.

It is a super-4 number, since 4×100000022193⁴ (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (100000022191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72346 + ... + 453027.

It is an arithmetic number, because the mean of its divisors is an integer number (12037631775).

Almost surely, 2^100000022193 is an apocalyptic number.

It is an amenable number.

100000022193 is a deficient number, since it is larger than the sum of its proper divisors (44451559107).

100000022193 is a wasteful number, since it uses less digits than its factorization.

100000022193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546528 (or 546525 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100000022193 its reverse (391220000001), we get a palindrome (491220022194).

The spelling of 100000022193 in words is "one hundred billion, twenty-two thousand, one hundred ninety-three".