21000102012120 has 512 divisors, whose sum is σ = 83192948121600. Its totient is φ = 4105649971200.

The previous prime is 21000102012073. The next prime is 21000102012163. The reversal of 21000102012120 is 2121020100012.

It is a super-4 number, since 4×21000102012120⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21000102012096 and 21000102012105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 529496851 + ... + 529536509.

It is an arithmetic number, because the mean of its divisors is an integer number (162486226800).

Almost surely, 2^{21000102012120} is an apocalyptic number.

21000102012120 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 21000102012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41596474060800).

21000102012120 is an abundant number, since it is smaller than the sum of its proper divisors (62192846109480).

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

21000102012120 is a wasteful number, since it uses less digits than its factorization.

21000102012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43079 (or 43075 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21000102012120 its reverse (2121020100012), we get a palindrome (23121122112132).

The spelling of 21000102012120 in words is "twenty-one trillion, one hundred two million, twelve thousand, one hundred twenty".