10032101001221 has 16 divisors (see below), whose sum is σ = 11089926443904. Its totient is φ = 9016509345984.

The previous prime is 10032101001191. The next prime is 10032101001233. The reversal of 10032101001221 is 12210010123001.

It is a cyclic number.

It is not a de Polignac number, because 10032101001221 - 2²⁶ = 10032033892357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10032101001196 and 10032101001205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032101031221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28129601 + ... + 28484006.

It is an arithmetic number, because the mean of its divisors is an integer number (693120402744).

Almost surely, 2^{10032101001221} is an apocalyptic number.

It is an amenable number.

10032101001221 is a deficient number, since it is larger than the sum of its proper divisors (1057825442683).

10032101001221 is a wasteful number, since it uses less digits than its factorization.

10032101001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56613980.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10032101001221 its reverse (12210010123001), we get a palindrome (22242111124222).

The spelling of 10032101001221 in words is "ten trillion, thirty-two billion, one hundred one million, one thousand, two hundred twenty-one".