10011013100420 has 12 divisors (see below), whose sum is σ = 21023127510924. Its totient is φ = 4004405240160.

The previous prime is 10011013100303. The next prime is 10011013100461. The reversal of 10011013100420 is 2400131011001.

It can be written as a sum of positive squares in 2 ways, for example, as 5944692454276 + 4066320646144 = 2438174^2 + 2016512^2 .

It is a super-2 number, since 2×10011013100420² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011013100395 and 10011013100404.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250275327491 + ... + 250275327530.

It is an arithmetic number, because the mean of its divisors is an integer number (1751927292577).

Almost surely, 2^{10011013100420} is an apocalyptic number.

10011013100420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011013100420 is an abundant number, since it is smaller than the sum of its proper divisors (11012114410504).

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

10011013100420 is a wasteful number, since it uses less digits than its factorization.

10011013100420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500550655030 (or 500550655028 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10011013100420 its reverse (2400131011001), we get a palindrome (12411144111421).

The spelling of 10011013100420 in words is "ten trillion, eleven billion, thirteen million, one hundred thousand, four hundred twenty".