21101123131140 has 384 divisors, whose sum is σ = 65944341872640. Its totient is φ = 5008411699200.

The previous prime is 21101123131117. The next prime is 21101123131147. The reversal of 21101123131140 is 4113132110112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21101123131147) 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 127 ways as a sum of consecutive naturals, for example, 6010001985 + ... + 6010005495.

It is an arithmetic number, because the mean of its divisors is an integer number (171730056960).

Almost surely, 2^{21101123131140} is an apocalyptic number.

21101123131140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101123131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32972170936320).

21101123131140 is an abundant number, since it is smaller than the sum of its proper divisors (44843218741500).

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

21101123131140 is a wasteful number, since it uses less digits than its factorization.

21101123131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5963 (or 5961 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 21101123131140 its reverse (4113132110112), we get a palindrome (25214255241252).

The spelling of 21101123131140 in words is "twenty-one trillion, one hundred one billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred forty".