21101101012201 has 32 divisors (see below), whose sum is σ = 24413744010240. Its totient is φ = 17863475097600.

The previous prime is 21101101012171. The next prime is 21101101012241. The reversal of 21101101012201 is 10221010110112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 21101101012201 - 2⁵ = 21101101012169 is a prime.

It is a super-2 number, since 2×21101101012201² (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 (21101101012241) 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 31 ways as a sum of consecutive naturals, for example, 2518928725 + ... + 2518937101.

It is an arithmetic number, because the mean of its divisors is an integer number (762929500320).

Almost surely, 2^{21101101012201} is an apocalyptic number.

It is an amenable number.

21101101012201 is a deficient number, since it is larger than the sum of its proper divisors (3312642998039).

21101101012201 is a wasteful number, since it uses less digits than its factorization.

21101101012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12505.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21101101012201 its reverse (10221010110112), we get a palindrome (31322111122313).

The spelling of 21101101012201 in words is "twenty-one trillion, one hundred one billion, one hundred one million, twelve thousand, two hundred one".