101002112 has 32 divisors (see below), whose sum is σ = 203024880. Its totient is φ = 50046976.

The previous prime is 101002103. The next prime is 101002127. The reversal of 101002112 is 211200101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101002112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10973 + ... + 17955.

Almost surely, 2^101002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101512440).

101002112 is an abundant number, since it is smaller than the sum of its proper divisors (102022768).

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

101002112 is an equidigital number, since it uses as much as digits as its factorization.

101002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7110 (or 7098 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 101002112 is about 10049.9806964989. The cubic root of 101002112 is about 465.7041968317.

Adding to 101002112 its reverse (211200101), we get a palindrome (312202213).

The spelling of 101002112 in words is "one hundred one million, two thousand, one hundred twelve".