10101132131221 has 8 divisors (see below), whose sum is σ = 10754406523224. Its totient is φ = 9454423311360.

The previous prime is 10101132131203. The next prime is 10101132131243. The reversal of 10101132131221 is 12213123110101.

It can be written as a sum of positive squares in 4 ways, for example, as 2388786624900 + 7712345506321 = 1545570^2 + 2777111^2 .

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 10101132131221 - 2⁹ = 10101132130709 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 (10101132131201) 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, 1641389860 + ... + 1641396013.

It is an arithmetic number, because the mean of its divisors is an integer number (1344300815403).

Almost surely, 2^{10101132131221} is an apocalyptic number.

It is an amenable number.

10101132131221 is a deficient number, since it is larger than the sum of its proper divisors (653274392003).

10101132131221 is a wasteful number, since it uses less digits than its factorization.

10101132131221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282786071.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 10101132131221 its reverse (12213123110101), we get a palindrome (22314255241322).

The spelling of 10101132131221 in words is "ten trillion, one hundred one billion, one hundred thirty-two million, one hundred thirty-one thousand, two hundred twenty-one".