21010110122000 has 40 divisors (see below), whose sum is σ = 50802446279832. Its totient is φ = 8404044048000.

The previous prime is 21010110121993. The next prime is 21010110122003. The reversal of 21010110122000 is 22101101012.

It can be written as a sum of positive squares in 4 ways, for example, as 5409885239056 + 15600224882944 = 2325916^2 + 3949712^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (21010110122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5252525531 + ... + 5252529530.

Almost surely, 2^{21010110122000} is an apocalyptic number.

21010110122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21010110122000 is an abundant number, since it is smaller than the sum of its proper divisors (29792336157832).

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

21010110122000 is a wasteful number, since it uses less digits than its factorization.

21010110122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10505055084 (or 10505055068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21010110122000 its reverse (22101101012), we get a palindrome (21032211223012).

The spelling of 21010110122000 in words is "twenty-one trillion, ten billion, one hundred ten million, one hundred twenty-two thousand".