21001012000100 has 72 divisors (see below), whose sum is σ = 50457139890528. Its totient is φ = 7522750540800.

The previous prime is 21001012000097. The next prime is 21001012000103. The reversal of 21001012000100 is 100021010012.

It is an interprime number because it is at equal distance from previous prime (21001012000097) and next prime (21001012000103).

It is not an unprimeable number, because it can be changed into a prime (21001012000103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 142402637 + ... + 142550036.

Almost surely, 2^{21001012000100} is an apocalyptic number.

21001012000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001012000100 is an abundant number, since it is smaller than the sum of its proper divisors (29456127890428).

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

21001012000100 is a wasteful number, since it uses less digits than its factorization.

21001012000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284952765 (or 284952758 counting only the distinct ones).

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

Adding to 21001012000100 its reverse (100021010012), we get a palindrome (21101033010112).

The spelling of 21001012000100 in words is "twenty-one trillion, one billion, twelve million, one hundred", and thus it is an aban number.