101021112 has 24 divisors (see below), whose sum is σ = 273599040. Its totient is φ = 33673680.

The previous prime is 101021099. The next prime is 101021117. The reversal of 101021112 is 211120101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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 = 101021094 and 101021103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021117) 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 5 ways as a sum of consecutive naturals, for example, 701464 + ... + 701607.

It is an arithmetic number, because the mean of its divisors is an integer number (11399960).

Almost surely, 2^101021112 is an apocalyptic number.

101021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101021112 is an abundant number, since it is smaller than the sum of its proper divisors (172577928).

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

101021112 is a wasteful number, since it uses less digits than its factorization.

101021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403083 (or 1403076 counting only the distinct ones).

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

The square root of 101021112 is about 10050.9259274954. The cubic root of 101021112 is about 465.7333969636.

Adding to 101021112 its reverse (211120101), we get a palindrome (312141213).

It can be divided in two parts, 1010 and 21112, that added together give a palindrome (22122).

The spelling of 101021112 in words is "one hundred one million, twenty-one thousand, one hundred twelve".