100000022212305 has 12 divisors (see below), whose sum is σ = 173333371834740. Its totient is φ = 53333345179872.

The previous prime is 100000022212289. The next prime is 100000022212327. The reversal of 100000022212305 is 503212220000001.

It can be written as a sum of positive squares in 2 ways, for example, as 31227632772561 + 68772389439744 = 5588169^2 + 8292912^2 .

It is not a de Polignac number, because 100000022212305 - 2⁴ = 100000022212289 is a prime.

It is a super-2 number, since 2×100000022212305² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1111111357870 + ... + 1111111357959.

It is an arithmetic number, because the mean of its divisors is an integer number (14444447652895).

Almost surely, 2^{100000022212305} is an apocalyptic number.

100000022212305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100000022212305 is a deficient number, since it is larger than the sum of its proper divisors (73333349622435).

100000022212305 is a wasteful number, since it uses less digits than its factorization.

100000022212305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222222715840 (or 2222222715837 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 100000022212305 its reverse (503212220000001), we get a palindrome (603212242212306).

The spelling of 100000022212305 in words is "one hundred trillion, twenty-two million, two hundred twelve thousand, three hundred five".