21101211110001 has 128 divisors (see below), whose sum is σ = 33898630256640. Its totient is φ = 11528063078400.

The previous prime is 21101211109939. The next prime is 21101211110003. The reversal of 21101211110001 is 10001111210112.

It is not a de Polignac number, because 21101211110001 - 2¹⁴ = 21101211093617 is a prime.

It is a super-2 number, since 2×21101211110001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21101211110003) 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 127 ways as a sum of consecutive naturals, for example, 2321105466 + ... + 2321114556.

It is an arithmetic number, because the mean of its divisors is an integer number (264833048880).

Almost surely, 2^{21101211110001} is an apocalyptic number.

It is an amenable number.

21101211110001 is a deficient number, since it is larger than the sum of its proper divisors (12797419146639).

21101211110001 is a wasteful number, since it uses less digits than its factorization.

21101211110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10895.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 21101211110001 its reverse (10001111210112), we get a palindrome (31102322320113).

It can be divided in two parts, 21101211 and 110001, that added together give a palindrome (21211212).

The spelling of 21101211110001 in words is "twenty-one trillion, one hundred one billion, two hundred eleven million, one hundred ten thousand, one".