21120110000 has 200 divisors, whose sum is σ = 56364370128. Its totient is φ = 7600000000.

The previous prime is 21120109991. The next prime is 21120110009. The reversal of 21120110000 is 1102112.

It is an interprime number because it is at equal distance from previous prime (21120109991) and next prime (21120110009).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 21120110000.

It is not an unprimeable number, because it can be changed into a prime (21120110009) 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 39 ways as a sum of consecutive naturals, for example, 11109050 + ... + 11110950.

Almost surely, 2^21120110000 is an apocalyptic number.

21120110000 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 21120110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28182185064).

21120110000 is an abundant number, since it is smaller than the sum of its proper divisors (35244260128).

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

21120110000 is a wasteful number, since it uses less digits than its factorization.

21120110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21120110000 its reverse (1102112), we get a palindrome (21121212112).

The spelling of 21120110000 in words is "twenty-one billion, one hundred twenty million, one hundred ten thousand".