21100241010040 has 64 divisors (see below), whose sum is σ = 48282502809600. Its totient is φ = 8296650327168.

The previous prime is 21100241010031. The next prime is 21100241010047. The reversal of 21100241010040 is 4001014200112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21100241009996 and 21100241010023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100241010047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52301977 + ... + 52703863.

It is an arithmetic number, because the mean of its divisors is an integer number (754414106400).

Almost surely, 2^{21100241010040} is an apocalyptic number.

21100241010040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100241010040 is an abundant number, since it is smaller than the sum of its proper divisors (27182261799560).

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

21100241010040 is a wasteful number, since it uses less digits than its factorization.

21100241010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424204 (or 424200 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21100241010040 its reverse (4001014200112), we get a palindrome (25101255210152).

The spelling of 21100241010040 in words is "twenty-one trillion, one hundred billion, two hundred forty-one million, ten thousand, forty".