10020010110164 has 12 divisors (see below), whose sum is σ = 17775223415124. Its totient is φ = 4941374848704.

The previous prime is 10020010110163. The next prime is 10020010110233. The reversal of 10020010110164 is 46101101002001.

10020010110164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7618935898564 + 2401074211600 = 2760242^2 + 1549540^2 .

It is a super-2 number, since 2×10020010110164² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020010110163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17157551267 + ... + 17157551850.

It is an arithmetic number, because the mean of its divisors is an integer number (1481268617927).

Almost surely, 2^{10020010110164} is an apocalyptic number.

It is an amenable number.

10020010110164 is a deficient number, since it is larger than the sum of its proper divisors (7755213304960).

10020010110164 is a wasteful number, since it uses less digits than its factorization.

10020010110164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34315103194 (or 34315103192 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10020010110164 its reverse (46101101002001), we get a palindrome (56121111112165).

The spelling of 10020010110164 in words is "ten trillion, twenty billion, ten million, one hundred ten thousand, one hundred sixty-four".