21020123130000 has 800 divisors, whose sum is σ = 73461364838400. Its totient is φ = 5160153600000.

The previous prime is 21020123129989. The next prime is 21020123130007. The reversal of 21020123130000 is 3132102012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (21020123130007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6333268341 + ... + 6333271659.

It is an arithmetic number, because the mean of its divisors is an integer number (91826706048).

Almost surely, 2^{21020123130000} is an apocalyptic number.

21020123130000 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 21020123130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36730682419200).

21020123130000 is an abundant number, since it is smaller than the sum of its proper divisors (52441241708400).

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

21020123130000 is a wasteful number, since it uses less digits than its factorization.

21020123130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21020123130000 its reverse (3132102012), we get a palindrome (21023255232012).

The spelling of 21020123130000 in words is "twenty-one trillion, twenty billion, one hundred twenty-three million, one hundred thirty thousand".