101122291 has 8 divisors (see below), whose sum is σ = 102988800. Its totient is φ = 99270600.

The previous prime is 101122289. The next prime is 101122309. The reversal of 101122291 is 192221101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101122291 - 2¹ = 101122289 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (101122691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10566 + ... + 17716.

It is an arithmetic number, because the mean of its divisors is an integer number (12873600).

Almost surely, 2^101122291 is an apocalyptic number.

101122291 is a deficient number, since it is larger than the sum of its proper divisors (1866509).

101122291 is an equidigital number, since it uses as much as digits as its factorization.

101122291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7409.

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 101122291 is about 10055.9579851946. The cubic root of 101122291 is about 465.8888321828. Note that the first 4 decimals are identical.

Adding to 101122291 its reverse (192221101), we get a palindrome (293343392).

It can be divided in two parts, 10112 and 2291, that added together give a triangular number (12403 = T₁₅₇).

The spelling of 101122291 in words is "one hundred one million, one hundred twenty-two thousand, two hundred ninety-one".