10010011120020 has 144 divisors (see below), whose sum is σ = 31048293079440. Its totient is φ = 2609516003328.

The previous prime is 10010011119991. The next prime is 10010011120069. The reversal of 10010011120020 is 2002111001001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2012777788176 + 7997233331844 = 1418724^2 + 2827938^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010011119984 and 10010011120011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748596 + ... + 4536564.

It is an arithmetic number, because the mean of its divisors is an integer number (215613146385).

Almost surely, 2^{10010011120020} is an apocalyptic number.

10010011120020 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 10010011120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524146539720).

10010011120020 is an abundant number, since it is smaller than the sum of its proper divisors (21038281959420).

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

10010011120020 is a wasteful number, since it uses less digits than its factorization.

10010011120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788314 (or 3788309 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010011120020 its reverse (2002111001001), we get a palindrome (12012122121021).

The spelling of 10010011120020 in words is "ten trillion, ten billion, eleven million, one hundred twenty thousand, twenty".