10110120210020 has 12 divisors (see below), whose sum is σ = 21231252441084. Its totient is φ = 4044048084000.

The previous prime is 10110120210017. The next prime is 10110120210059. The reversal of 10110120210020 is 2001202101101.

It can be written as a sum of positive squares in 2 ways, for example, as 3791050431844 + 6319069778176 = 1947062^2 + 2513776^2 .

It is a super-2 number, since 2×10110120210020² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10110120209983 and 10110120210010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252753005231 + ... + 252753005270.

It is an arithmetic number, because the mean of its divisors is an integer number (1769271036757).

Almost surely, 2^{10110120210020} is an apocalyptic number.

10110120210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110120210020 is an abundant number, since it is smaller than the sum of its proper divisors (11121132231064).

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

10110120210020 is a wasteful number, since it uses less digits than its factorization.

10110120210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505506010510 (or 505506010508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10110120210020 its reverse (2001202101101), we get a palindrome (12111322311121).

The spelling of 10110120210020 in words is "ten trillion, one hundred ten billion, one hundred twenty million, two hundred ten thousand, twenty".