21100020032 has 112 divisors (see below), whose sum is σ = 51876179712. Its totient is φ = 8291635200.

The previous prime is 21100020023. The next prime is 21100020037. The reversal of 21100020032 is 23002000112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 21100019995 and 21100020022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100020037) 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 15 ways as a sum of consecutive naturals, for example, 867428 + ... + 891420.

It is an arithmetic number, because the mean of its divisors is an integer number (463180176).

Almost surely, 2^21100020032 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 21100020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25938089856).

21100020032 is an abundant number, since it is smaller than the sum of its proper divisors (30776159680).

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

21100020032 is a wasteful number, since it uses less digits than its factorization.

21100020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24176 (or 24166 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 21100020032 its reverse (23002000112), we get a palindrome (44102020144).

The spelling of 21100020032 in words is "twenty-one billion, one hundred million, twenty thousand, thirty-two".