21110100120 has 192 divisors, whose sum is σ = 74243070720. Its totient is φ = 5384548224.

The previous prime is 21110100083. The next prime is 21110100133. The reversal of 21110100120 is 2100101112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176347 + ... + 270773.

It is an arithmetic number, because the mean of its divisors is an integer number (386682660).

Almost surely, 2^21110100120 is an apocalyptic number.

21110100120 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 21110100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37121535360).

21110100120 is an abundant number, since it is smaller than the sum of its proper divisors (53132970600).

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

21110100120 is a wasteful number, since it uses less digits than its factorization.

21110100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94476 (or 94460 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21110100120 its reverse (2100101112), we get a palindrome (23210201232).

The spelling of 21110100120 in words is "twenty-one billion, one hundred ten million, one hundred thousand, one hundred twenty".