21101034121440 has 192 divisors, whose sum is σ = 81807086301696. Its totient is φ = 4452086310912.

The previous prime is 21101034121429. The next prime is 21101034121441. The reversal of 21101034121440 is 4412143010112.

It is a happy number.

21101034121440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21101034121440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101034121441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241497462 + ... + 241584821.

It is an arithmetic number, because the mean of its divisors is an integer number (426078574488).

Almost surely, 2^{21101034121440} is an apocalyptic number.

21101034121440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101034121440 is an abundant number, since it is smaller than the sum of its proper divisors (60706052180256).

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

21101034121440 is a wasteful number, since it uses less digits than its factorization.

21101034121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483082321 (or 483082313 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 21101034121440 its reverse (4412143010112), we get a palindrome (25513177131552).

The spelling of 21101034121440 in words is "twenty-one trillion, one hundred one billion, thirty-four million, one hundred twenty-one thousand, four hundred forty".