21301012100001 has 24 divisors (see below), whose sum is σ = 28713472571392. Its totient is φ = 14046282504000.

The previous prime is 21301012099993. The next prime is 21301012100041. The reversal of 21301012100001 is 10000121010312.

It is not a de Polignac number, because 21301012100001 - 2³ = 21301012099993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21301012100001.

It is not an unprimeable number, because it can be changed into a prime (21301012100041) 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, 30904800 + ... + 31586526.

Almost surely, 2^{21301012100001} is an apocalyptic number.

It is an amenable number.

21301012100001 is a deficient number, since it is larger than the sum of its proper divisors (7412460471391).

21301012100001 is a wasteful number, since it uses less digits than its factorization.

21301012100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682953 (or 682852 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 21301012100001 its reverse (10000121010312), we get a palindrome (31301133110313).

The spelling of 21301012100001 in words is "twenty-one trillion, three hundred one billion, twelve million, one hundred thousand, one".