21401100000000 has 1944 divisors, whose sum is σ = 91341203233280. Its totient is φ = 4717440000000.

The previous prime is 21401099999999. The next prime is 21401100000013. The reversal of 21401100000000 is 110412.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 270899999961 + ... + 270900000039.

Almost surely, 2^{21401100000000} is an apocalyptic number.

21401100000000 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 21401100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45670601616640).

21401100000000 is an abundant number, since it is smaller than the sum of its proper divisors (69940103233280).

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

21401100000000 is an frugal number, since it uses more digits than its factorization.

21401100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21401100000000 its reverse (110412), we get a palindrome (21401100110412).

The spelling of 21401100000000 in words is "twenty-one trillion, four hundred one billion, one hundred million", and thus it is an aban number.