10132221013001 has 2 divisors, whose sum is σ = 10132221013002. Its totient is φ = 10132221013000.

The previous prime is 10132221012973. The next prime is 10132221013027. The reversal of 10132221013001 is 10031012223101.

10132221013001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10104896592400 + 27324420601 = 3178820^2 + 165301^2 .

It is a cyclic number.

It is not a de Polignac number, because 10132221013001 - 2¹⁸ = 10132220750857 is a prime.

It is a super-2 number, since 2×10132221013001² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10132221013051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066110506500 + 5066110506501.

It is an arithmetic number, because the mean of its divisors is an integer number (5066110506501).

Almost surely, 2^{10132221013001} is an apocalyptic number.

It is an amenable number.

10132221013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10132221013001 is an equidigital number, since it uses as much as digits as its factorization.

10132221013001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10132221013001 its reverse (10031012223101), we get a palindrome (20163233236102).

The spelling of 10132221013001 in words is "ten trillion, one hundred thirty-two billion, two hundred twenty-one million, thirteen thousand, one".