10011100111120 has 40 divisors (see below), whose sum is σ = 23288906461464. Its totient is φ = 4002186504192.

The previous prime is 10011100111069. The next prime is 10011100111123. The reversal of 10011100111120 is 2111100111001.

It can be written as a sum of positive squares in 4 ways, for example, as 2303680412944 + 7707419698176 = 1517788^2 + 2776224^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 = 10011100111097 and 10011100111106.

It is not an unprimeable number, because it can be changed into a prime (10011100111123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35068519 + ... + 35352838.

Almost surely, 2^{10011100111120} is an apocalyptic number.

10011100111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011100111120 is an abundant number, since it is smaller than the sum of its proper divisors (13277806350344).

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

10011100111120 is a wasteful number, since it uses less digits than its factorization.

10011100111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70423147 (or 70423141 counting only the distinct ones).

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

Adding to 10011100111120 its reverse (2111100111001), we get a palindrome (12122200222121).

The spelling of 10011100111120 in words is "ten trillion, eleven billion, one hundred million, one hundred eleven thousand, one hundred twenty".