21120110020100 has 288 divisors, whose sum is σ = 59387745607680. Its totient is φ = 6331086696960.

The previous prime is 21120110020039. The next prime is 21120110020103. The reversal of 21120110020100 is 102001102112.

It is a super-2 number, since 2×21120110020100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21120110020103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1179687749 + ... + 1179705651.

Almost surely, 2^{21120110020100} is an apocalyptic number.

21120110020100 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 21120110020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29693872803840).

21120110020100 is an abundant number, since it is smaller than the sum of its proper divisors (38267635587580).

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

21120110020100 is a wasteful number, since it uses less digits than its factorization.

21120110020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24779 (or 24772 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21120110020100 its reverse (102001102112), we get a palindrome (21222111122212).

The spelling of 21120110020100 in words is "twenty-one trillion, one hundred twenty billion, one hundred ten million, twenty thousand, one hundred".