21010010112 has 312 divisors, whose sum is σ = 74705065344. Its totient is φ = 5540216832.

The previous prime is 21010010093. The next prime is 21010010113. The reversal of 21010010112 is 21101001012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (312).

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 = 21010010094 and 21010010103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21010010113) 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 23 ways as a sum of consecutive naturals, for example, 3351493 + ... + 3357755.

It is an arithmetic number, because the mean of its divisors is an integer number (239439312).

Almost surely, 2^21010010112 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 21010010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37352532672).

21010010112 is an abundant number, since it is smaller than the sum of its proper divisors (53695055232).

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

21010010112 is a wasteful number, since it uses less digits than its factorization.

21010010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313 (or 6288 counting only the distinct ones).

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

Adding to 21010010112 its reverse (21101001012), we get a palindrome (42111011124).

The spelling of 21010010112 in words is "twenty-one billion, ten million, ten thousand, one hundred twelve".