101112220233 has 24 divisors (see below), whose sum is σ = 153656824776. Its totient is φ = 63986630400.

The previous prime is 101112220229. The next prime is 101112220259. The reversal of 101112220233 is 332022211101.

101112220233 is a `hidden beast` number, since 101 + 112 + 220 + 233 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31200629769 + 69911590464 = 176637^2 + 264408^2 .

It is not a de Polignac number, because 101112220233 - 2² = 101112220229 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101112220733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3689278 + ... + 3716583.

It is an arithmetic number, because the mean of its divisors is an integer number (6402367699).

Almost surely, 2^101112220233 is an apocalyptic number.

It is an amenable number.

101112220233 is a deficient number, since it is larger than the sum of its proper divisors (52544604543).

101112220233 is a wasteful number, since it uses less digits than its factorization.

101112220233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7405945 (or 7405942 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101112220233 its reverse (332022211101), we get a palindrome (433134431334).

The spelling of 101112220233 in words is "one hundred one billion, one hundred twelve million, two hundred twenty thousand, two hundred thirty-three".