21101001012001 has 4 divisors (see below), whose sum is σ = 21101050521904. Its totient is φ = 21100951502100.

The previous prime is 21101001011983. The next prime is 21101001012011. The reversal of 21101001012001 is 10021010010112.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 21101001012001 - 2¹³ = 21101001003809 is a prime.

It is a super-2 number, since 2×21101001012001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21101001012011) 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 3 ways as a sum of consecutive naturals, for example, 24110055 + ... + 24969916.

It is an arithmetic number, because the mean of its divisors is an integer number (5275262630476).

Almost surely, 2^{21101001012001} is an apocalyptic number.

It is an amenable number.

21101001012001 is a deficient number, since it is larger than the sum of its proper divisors (49509903).

21101001012001 is an equidigital number, since it uses as much as digits as its factorization.

21101001012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49509902.

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

Adding to 21101001012001 its reverse (10021010010112), we get a palindrome (31122011022113).

The spelling of 21101001012001 in words is "twenty-one trillion, one hundred one billion, one million, twelve thousand, one".