101122133 has 24 divisors (see below), whose sum is σ = 120602880. Its totient is φ = 84520800.

The previous prime is 101122129. The next prime is 101122163. The reversal of 101122133 is 331221101.

It is not a de Polignac number, because 101122133 - 2² = 101122129 is a prime.

It is a super-3 number, since 3×101122133³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122163) 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, 584435 + ... + 584607.

It is an arithmetic number, because the mean of its divisors is an integer number (5025120).

Almost surely, 2^101122133 is an apocalyptic number.

It is an amenable number.

101122133 is a deficient number, since it is larger than the sum of its proper divisors (19480747).

101122133 is a wasteful number, since it uses less digits than its factorization.

101122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 101122133 is about 10055.9501291524. The cubic root of 101122133 is about 465.8885895378. Note that the first 3 decimals are identical.

Adding to 101122133 its reverse (331221101), we get a palindrome (432343234).

The spelling of 101122133 in words is "one hundred one million, one hundred twenty-two thousand, one hundred thirty-three".