21100001120 has 48 divisors (see below), whose sum is σ = 54380461968. Its totient is φ = 7672727040.

The previous prime is 21100001081. The next prime is 21100001171. The reversal of 21100001120 is 2110000112.

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

It is a junction number, because it is equal to n+sod(n) for n = 21100001098 and 21100001107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5992559 + ... + 5996078.

It is an arithmetic number, because the mean of its divisors is an integer number (1132926291).

Almost surely, 2^21100001120 is an apocalyptic number.

21100001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100001120 is an abundant number, since it is smaller than the sum of its proper divisors (33280460848).

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

21100001120 is a wasteful number, since it uses less digits than its factorization.

21100001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11988663 (or 11988655 counting only the distinct ones).

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

Adding to 21100001120 its reverse (2110000112), we get a palindrome (23210001232).

The spelling of 21100001120 in words is "twenty-one billion, one hundred million, one thousand, one hundred twenty".