10001121110 has 32 divisors (see below), whose sum is σ = 18676224000. Its totient is φ = 3851923680.

The previous prime is 10001121059. The next prime is 10001121113. The reversal of 10001121110 is 1112110001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001121113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19370 + ... + 142749.

It is an arithmetic number, because the mean of its divisors is an integer number (583632000).

Almost surely, 2^10001121110 is an apocalyptic number.

10001121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001121110 is a deficient number, since it is larger than the sum of its proper divisors (8675102890).

10001121110 is a wasteful number, since it uses less digits than its factorization.

10001121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162356.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10001121110 its reverse (1112110001), we get a palindrome (11113231111).

It can be divided in two parts, 100011 and 21110, that added together give a palindrome (121121).

The spelling of 10001121110 in words is "ten billion, one million, one hundred twenty-one thousand, one hundred ten".