21001112100001 has 16 divisors (see below), whose sum is σ = 22948899540480. Its totient is φ = 19059759578880.

The previous prime is 21001112099971. The next prime is 21001112100041. The reversal of 21001112100001 is 10000121110012.

It is a cyclic number.

It is not a de Polignac number, because 21001112100001 - 2¹³ = 21001112091809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21001112100041) 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 15 ways as a sum of consecutive naturals, for example, 281444985 + ... + 281519593.

It is an arithmetic number, because the mean of its divisors is an integer number (1434306221280).

Almost surely, 2^{21001112100001} is an apocalyptic number.

It is an amenable number.

21001112100001 is a deficient number, since it is larger than the sum of its proper divisors (1947787440479).

21001112100001 is a wasteful number, since it uses less digits than its factorization.

21001112100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117384.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21001112100001 its reverse (10000121110012), we get a palindrome (31001233210013).

The spelling of 21001112100001 in words is "twenty-one trillion, one billion, one hundred twelve million, one hundred thousand, one".