21140342002120 has 128 divisors (see below), whose sum is σ = 54155874551040. Its totient is φ = 7351823395840.

The previous prime is 21140342002099. The next prime is 21140342002183. The reversal of 21140342002120 is 2120024304112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21140342002091 and 21140342002100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56211342 + ... + 56586178.

It is an arithmetic number, because the mean of its divisors is an integer number (423092769930).

Almost surely, 2^{21140342002120} is an apocalyptic number.

21140342002120 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 21140342002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27077937275520).

21140342002120 is an abundant number, since it is smaller than the sum of its proper divisors (33015532548920).

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

21140342002120 is a wasteful number, since it uses less digits than its factorization.

21140342002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380455 (or 380451 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 21140342002120 its reverse (2120024304112), we get a palindrome (23260366306232).

The spelling of 21140342002120 in words is "twenty-one trillion, one hundred forty billion, three hundred forty-two million, two thousand, one hundred twenty".