10001010110800 has 120 divisors (see below), whose sum is σ = 26779794912000. Its totient is φ = 3566923683840.

The previous prime is 10001010110779. The next prime is 10001010110801. The reversal of 10001010110800 is 801101010001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001010110801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38574400 + ... + 38832799.

It is an arithmetic number, because the mean of its divisors is an integer number (223164957600).

Almost surely, 2^{10001010110800} is an apocalyptic number.

10001010110800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001010110800 is an abundant number, since it is smaller than the sum of its proper divisors (16778784801200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001010110800 is a wasteful number, since it uses less digits than its factorization.

10001010110800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77407253 (or 77407242 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10001010110800 its reverse (801101010001), we get a palindrome (10802111120801).

The spelling of 10001010110800 in words is "ten trillion, one billion, ten million, one hundred ten thousand, eight hundred".