101114721 has 24 divisors (see below), whose sum is σ = 148973760. Its totient is φ = 66074400.

The previous prime is 101114701. The next prime is 101114753. The reversal of 101114721 is 127411101.

It is not a de Polignac number, because 101114721 - 2¹⁰ = 101113697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101114694 and 101114703.

It is not an unprimeable number, because it can be changed into a prime (101114701) 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, 145986 + ... + 146676.

It is an arithmetic number, because the mean of its divisors is an integer number (6207240).

Almost surely, 2^101114721 is an apocalyptic number.

It is an amenable number.

101114721 is a deficient number, since it is larger than the sum of its proper divisors (47859039).

101114721 is a wasteful number, since it uses less digits than its factorization.

101114721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 101114721 is about 10055.5815843739. The cubic root of 101114721 is about 465.8772064360.

Adding to 101114721 its reverse (127411101), we get a palindrome (228525822).

The spelling of 101114721 in words is "one hundred one million, one hundred fourteen thousand, seven hundred twenty-one".