10011133010120 has 64 divisors (see below), whose sum is σ = 25365451415040. Its totient is φ = 3522979353600.

The previous prime is 10011133010119. The next prime is 10011133010183. The reversal of 10011133010120 is 2101033111001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10011133010095 and 10011133010104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366963377 + ... + 366990656.

It is an arithmetic number, because the mean of its divisors is an integer number (396335178360).

Almost surely, 2^{10011133010120} is an apocalyptic number.

10011133010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011133010120 is an abundant number, since it is smaller than the sum of its proper divisors (15354318404920).

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

10011133010120 is a wasteful number, since it uses less digits than its factorization.

10011133010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733954086 (or 733954082 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10011133010120 its reverse (2101033111001), we get a palindrome (12112166121121).

The spelling of 10011133010120 in words is "ten trillion, eleven billion, one hundred thirty-three million, ten thousand, one hundred twenty".