10111011001120 has 48 divisors (see below), whose sum is σ = 23887473878520. Its totient is φ = 4044368779264.

The previous prime is 10111011001099. The next prime is 10111011001159. The reversal of 10111011001120 is 2110011011101.

It can be written as a sum of positive squares in 4 ways, for example, as 7388154589456 + 2722856411664 = 2718116^2 + 1650108^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10111011001097 and 10111011001106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25226604 + ... + 25624276.

Almost surely, 2^{10111011001120} is an apocalyptic number.

10111011001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111011001120 is an abundant number, since it is smaller than the sum of its proper divisors (13776462877400).

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

10111011001120 is a wasteful number, since it uses less digits than its factorization.

10111011001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556597 (or 556589 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10111011001120 its reverse (2110011011101), we get a palindrome (12221022012221).

The spelling of 10111011001120 in words is "ten trillion, one hundred eleven billion, eleven million, one thousand, one hundred twenty".