10201110010321 has 32 divisors (see below), whose sum is σ = 11128044816000. Its totient is φ = 9314375390208.

The previous prime is 10201110010199. The next prime is 10201110010327. The reversal of 10201110010321 is 12301001110201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10201110010321 - 2¹⁹ = 10201109486033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201110010327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1531924890 + ... + 1531931548.

It is an arithmetic number, because the mean of its divisors is an integer number (347751400500).

Almost surely, 2^{10201110010321} is an apocalyptic number.

It is an amenable number.

10201110010321 is a deficient number, since it is larger than the sum of its proper divisors (926934805679).

10201110010321 is a wasteful number, since it uses less digits than its factorization.

10201110010321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11233.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10201110010321 its reverse (12301001110201), we get a palindrome (22502111120522).

The spelling of 10201110010321 in words is "ten trillion, two hundred one billion, one hundred ten million, ten thousand, three hundred twenty-one".