101112021 has 12 divisors (see below), whose sum is σ = 147900480. Its totient is φ = 66554280.

The previous prime is 101112013. The next prime is 101112029. The reversal of 101112021 is 120211101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101112013) and next prime (101112029).

It is not a de Polignac number, because 101112021 - 2³ = 101112013 is a prime.

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 = 101111994 and 101112012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112029) 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 11 ways as a sum of consecutive naturals, for example, 70395 + ... + 71816.

It is an arithmetic number, because the mean of its divisors is an integer number (12325040).

Almost surely, 2^101112021 is an apocalyptic number.

It is an amenable number.

101112021 is a deficient number, since it is larger than the sum of its proper divisors (46788459).

101112021 is a wasteful number, since it uses less digits than its factorization.

101112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142296 (or 142293 counting only the distinct ones).

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

The square root of 101112021 is about 10055.4473296816. The cubic root of 101112021 is about 465.8730597280.

Adding to 101112021 its reverse (120211101), we get a palindrome (221323122).

The spelling of 101112021 in words is "one hundred one million, one hundred twelve thousand, twenty-one".