101011014 has 24 divisors (see below), whose sum is σ = 235692912. Its totient is φ = 31080240.

The previous prime is 101011013. The next prime is 101011019. The reversal of 101011014 is 410110101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101010987 and 101011005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011013) 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 11 ways as a sum of consecutive naturals, for example, 215602 + ... + 216069.

It is an arithmetic number, because the mean of its divisors is an integer number (9820538).

Almost surely, 2^101011014 is an apocalyptic number.

101011014 is an abundant number, since it is smaller than the sum of its proper divisors (134681898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101011014 is a wasteful number, since it uses less digits than its factorization.

101011014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431692 (or 431689 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 101011014 is about 10050.4235731635. The cubic root of 101011014 is about 465.7178783178.

Adding to 101011014 its reverse (410110101), we get a palindrome (511121115).

The spelling of 101011014 in words is "one hundred one million, eleven thousand, fourteen".