101114321 has 16 divisors (see below), whose sum is σ = 127191168. Its totient is φ = 78086400.

The previous prime is 101114309. The next prime is 101114339. The reversal of 101114321 is 123411101.

It is not a de Polignac number, because 101114321 - 2¹⁴ = 101097937 is a prime.

It is a super-2 number, since 2×101114321² = 20448211822582082, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101114296 and 101114305.

It is not an unprimeable number, because it can be changed into a prime (101114341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2891 + ... + 14511.

It is an arithmetic number, because the mean of its divisors is an integer number (7949448).

Almost surely, 2^101114321 is an apocalyptic number.

101114321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101114321 is a deficient number, since it is larger than the sum of its proper divisors (26076847).

101114321 is a wasteful number, since it uses less digits than its factorization.

101114321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11752.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 101114321 is about 10055.5616949030. The cubic root of 101114321 is about 465.8765921135.

Adding to 101114321 its reverse (123411101), we get a palindrome (224525422).

The spelling of 101114321 in words is "one hundred one million, one hundred fourteen thousand, three hundred twenty-one".