21101001010000 has 50 divisors (see below), whose sum is σ = 51087633569522. Its totient is φ = 8440400400000.

The previous prime is 21101001009967. The next prime is 21101001010031. The reversal of 21101001010000 is 1010010112.

It can be written as a sum of positive squares in 5 ways, for example, as 8281364485696 + 12819636524304 = 2877736^2 + 3580452^2 .

It is a tau number, because it is divible by the number of its divisors (50).

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 9 ways as a sum of consecutive naturals, for example, 1055040051 + ... + 1055060050.

Almost surely, 2^{21101001010000} is an apocalyptic number.

21101001010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101001010000 is an abundant number, since it is smaller than the sum of its proper divisors (29986632559522).

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

21101001010000 is an equidigital number, since it uses as much as digits as its factorization.

21101001010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110100129 (or 2110100108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 21101001010000 its reverse (1010010112), we get a palindrome (21102011020112).

The spelling of 21101001010000 in words is "twenty-one trillion, one hundred one billion, one million, ten thousand".