21010021000100 has 144 divisors (see below), whose sum is σ = 49842802481472. Its totient is φ = 7623681600000.

The previous prime is 21010021000079. The next prime is 21010021000121. The reversal of 21010021000100 is 100012001012.

It is an interprime number because it is at equal distance from previous prime (21010021000079) and next prime (21010021000121).

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 47 ways as a sum of consecutive naturals, for example, 2249221430 + ... + 2249230770.

It is an arithmetic number, because the mean of its divisors is an integer number (346130572788).

Almost surely, 2^{21010021000100} is an apocalyptic number.

21010021000100 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 21010021000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24921401240736).

21010021000100 is an abundant number, since it is smaller than the sum of its proper divisors (28832781481372).

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

21010021000100 is a wasteful number, since it uses less digits than its factorization.

21010021000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13518 (or 13511 counting only the distinct ones).

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

Adding to 21010021000100 its reverse (100012001012), we get a palindrome (21110033001112).

The spelling of 21010021000100 in words is "twenty-one trillion, ten billion, twenty-one million, one hundred", and thus it is an aban number.