21111111210001 has 8 divisors (see below), whose sum is σ = 21839286928320. Its totient is φ = 20382949249488.

The previous prime is 21111111209999. The next prime is 21111111210019. The reversal of 21111111210001 is 10001211111112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21111111210001 - 2¹ = 21111111209999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21111111210701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267981 + ... + 6503386.

It is an arithmetic number, because the mean of its divisors is an integer number (2729910866040).

Almost surely, 2^{21111111210001} is an apocalyptic number.

It is an amenable number.

21111111210001 is a deficient number, since it is larger than the sum of its proper divisors (728175718319).

21111111210001 is a wasteful number, since it uses less digits than its factorization.

21111111210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6878903.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 21111111210001 its reverse (10001211111112), we get a palindrome (31112322321113).

It can be divided in two parts, 211111112 and 10001, that multiplied together give a palindrome (2111322231112).

The spelling of 21111111210001 in words is "twenty-one trillion, one hundred eleven billion, one hundred eleven million, two hundred ten thousand, one".