21221020002101 has 8 divisors (see below), whose sum is σ = 21302938457784. Its totient is φ = 21139139736000.

The previous prime is 21221020002047. The next prime is 21221020002107. The reversal of 21221020002101 is 10120002012212.

It can be written as a sum of positive squares in 4 ways, for example, as 3259839025 + 21217760163076 = 57095^2 + 4606274^2 .

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 21221020002101 - 2³⁰ = 21219946260277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221020002107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8433650 + ... + 10656851.

It is an arithmetic number, because the mean of its divisors is an integer number (2662867307223).

Almost surely, 2^{21221020002101} is an apocalyptic number.

It is an amenable number.

21221020002101 is a deficient number, since it is larger than the sum of its proper divisors (81918455683).

21221020002101 is a wasteful number, since it uses less digits than its factorization.

21221020002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19094791.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21221020002101 its reverse (10120002012212), we get a palindrome (31341022014313).

The spelling of 21221020002101 in words is "twenty-one trillion, two hundred twenty-one billion, twenty million, two thousand, one hundred one".