10011000020120 has 256 divisors, whose sum is σ = 26531463168000. Its totient is φ = 3361675046400.

The previous prime is 10011000020113. The next prime is 10011000020129. The reversal of 10011000020120 is 2102000011001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10011000020098 and 10011000020107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011000020129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131410601 + ... + 131486759.

It is an arithmetic number, because the mean of its divisors is an integer number (103638528000).

Almost surely, 2^{10011000020120} is an apocalyptic number.

10011000020120 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 10011000020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13265731584000).

10011000020120 is an abundant number, since it is smaller than the sum of its proper divisors (16520463147880).

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

10011000020120 is a wasteful number, since it uses less digits than its factorization.

10011000020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76654 (or 76650 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10011000020120 its reverse (2102000011001), we get a palindrome (12113000031121).

The spelling of 10011000020120 in words is "ten trillion, eleven billion, twenty thousand, one hundred twenty".