101314121 has 4 divisors (see below), whose sum is σ = 101378244. Its totient is φ = 101250000.

The previous prime is 101314097. The next prime is 101314183. The reversal of 101314121 is 121413101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 121413101 = 4201 ⋅28901.

It can be written as a sum of positive squares in 2 ways, for example, as 94867600 + 6446521 = 9740^2 + 2539^2 .

It is a cyclic number.

It is not a de Polignac number, because 101314121 - 2¹⁰ = 101313097 is a prime.

It is a super-2 number, since 2×101314121² = 20529102228005282, 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 = 101314096 and 101314105.

It is not an unprimeable number, because it can be changed into a prime (101314021) 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 3 ways as a sum of consecutive naturals, for example, 29630 + ... + 32871.

It is an arithmetic number, because the mean of its divisors is an integer number (25344561).

Almost surely, 2^101314121 is an apocalyptic number.

It is an amenable number.

101314121 is a deficient number, since it is larger than the sum of its proper divisors (64123).

101314121 is an equidigital number, since it uses as much as digits as its factorization.

101314121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64122.

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

The square root of 101314121 is about 10065.4915925652. The cubic root of 101314121 is about 466.1832446888.

Adding to 101314121 its reverse (121413101), we get a palindrome (222727222).

It can be divided in two parts, 10 and 1314121, that added together give a palindrome (1314131).

The spelling of 101314121 in words is "one hundred one million, three hundred fourteen thousand, one hundred twenty-one".