21100110120000 has 560 divisors, whose sum is σ = 77730550761600. Its totient is φ = 5610919680000.

The previous prime is 21100110119969. The next prime is 21100110120049. The reversal of 21100110120000 is 2101100112.

It is a happy number.

It is a super-2 number, since 2×21100110120000² (a number of 27 digits) contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 387692790 + ... + 387747210.

Almost surely, 2^{21100110120000} is an apocalyptic number.

21100110120000 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 21100110120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38865275380800).

21100110120000 is an abundant number, since it is smaller than the sum of its proper divisors (56630440641600).

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

21100110120000 is an equidigital number, since it uses as much as digits as its factorization.

21100110120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54821 (or 54790 counting only the distinct ones).

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

Adding to 21100110120000 its reverse (2101100112), we get a palindrome (21102211220112).

The spelling of 21100110120000 in words is "twenty-one trillion, one hundred billion, one hundred ten million, one hundred twenty thousand".