21211010001101 has 16 divisors (see below), whose sum is σ = 23551417407600. Its totient is φ = 19010873806848.

The previous prime is 21211010001061. The next prime is 21211010001119. The reversal of 21211010001101 is 10110001011212.

It can be written as a sum of positive squares in 8 ways, for example, as 490770302500 + 20720239698601 = 700550^2 + 4551949^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21211010001101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211010006101) 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, 294651416 + ... + 294723393.

It is an arithmetic number, because the mean of its divisors is an integer number (1471963587975).

Almost surely, 2^{21211010001101} is an apocalyptic number.

It is an amenable number.

21211010001101 is a deficient number, since it is larger than the sum of its proper divisors (2340407406499).

21211010001101 is a wasteful number, since it uses less digits than its factorization.

21211010001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589374928.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21211010001101 its reverse (10110001011212), we get a palindrome (31321011012313).

The spelling of 21211010001101 in words is "twenty-one trillion, two hundred eleven billion, ten million, one thousand, one hundred one".