10011104210120 has 256 divisors, whose sum is σ = 25491328611840. Its totient is φ = 3510736846848.

The previous prime is 10011104210119. The next prime is 10011104210131. The reversal of 10011104210120 is 2101240111001.

It is a super-2 number, since 2×10011104210120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011104210095 and 10011104210104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3191297192 + ... + 3191300328.

It is an arithmetic number, because the mean of its divisors is an integer number (99575502390).

Almost surely, 2^{10011104210120} is an apocalyptic number.

10011104210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011104210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12745664305920).

10011104210120 is an abundant number, since it is smaller than the sum of its proper divisors (15480224401720).

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

10011104210120 is a wasteful number, since it uses less digits than its factorization.

10011104210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10011104210120 its reverse (2101240111001), we get a palindrome (12112344321121).

The spelling of 10011104210120 in words is "ten trillion, eleven billion, one hundred four million, two hundred ten thousand, one hundred twenty".