101022117 has 16 divisors (see below), whose sum is σ = 154091520. Its totient is φ = 57669552.

The previous prime is 101022083. The next prime is 101022169. The reversal of 101022117 is 711220101.

It is not a de Polignac number, because 101022117 - 2⁸ = 101021861 is a prime.

It is a super-3 number, since 3×101022117³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101022096 and 101022105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28548 + ... + 31890.

It is an arithmetic number, because the mean of its divisors is an integer number (9630720).

Almost surely, 2^101022117 is an apocalyptic number.

It is an amenable number.

101022117 is a deficient number, since it is larger than the sum of its proper divisors (53069403).

101022117 is a wasteful number, since it uses less digits than its factorization.

101022117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792.

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 101022117 is about 10050.9759227649. The cubic root of 101022117 is about 465.7349413949.

Adding to 101022117 its reverse (711220101), we get a palindrome (812242218).

The spelling of 101022117 in words is "one hundred one million, twenty-two thousand, one hundred seventeen".