21002101120 has 256 divisors, whose sum is σ = 67414394880. Its totient is φ = 6042378240.

The previous prime is 21002101097. The next prime is 21002101177. The reversal of 21002101120 is 2110120012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 21002101097 and 21002101106.

It is a congruent number.

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, 624249 + ... + 657031.

It is an arithmetic number, because the mean of its divisors is an integer number (263337480).

Almost surely, 2^21002101120 is an apocalyptic number.

21002101120 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 21002101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33707197440).

21002101120 is an abundant number, since it is smaller than the sum of its proper divisors (46412293760).

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

21002101120 is a wasteful number, since it uses less digits than its factorization.

21002101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32833 (or 32821 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21002101120 its reverse (2110120012), we get a palindrome (23112221132).

The spelling of 21002101120 in words is "twenty-one billion, two million, one hundred one thousand, one hundred twenty".