10102232110301 has 16 divisors (see below), whose sum is σ = 10574397488640. Its totient is φ = 9639296732160.

The previous prime is 10102232110247. The next prime is 10102232110331. The reversal of 10102232110301 is 10301123220101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102232110301 is a prime.

It is a super-2 number, since 2×10102232110301² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10102232110301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102232110331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6252845 + ... + 7700813.

It is an arithmetic number, because the mean of its divisors is an integer number (660899843040).

Almost surely, 2^{10102232110301} is an apocalyptic number.

It is an amenable number.

10102232110301 is a deficient number, since it is larger than the sum of its proper divisors (472165378339).

10102232110301 is a wasteful number, since it uses less digits than its factorization.

10102232110301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451156.

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

Adding to 10102232110301 its reverse (10301123220101), we get a palindrome (20403355330402).

The spelling of 10102232110301 in words is "ten trillion, one hundred two billion, two hundred thirty-two million, one hundred ten thousand, three hundred one".