10011312142420 has 48 divisors (see below), whose sum is σ = 22262751821520. Its totient is φ = 3768574337024.

The previous prime is 10011312142387. The next prime is 10011312142441. The reversal of 10011312142420 is 2424121311001.

It can be written as a sum of positive squares in 8 ways, for example, as 874367125776 + 9136945016644 = 935076^2 + 3022738^2 .

It is a super-2 number, since 2×10011312142420² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011312142391 and 10011312142400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1774752 + ... + 4813768.

It is an arithmetic number, because the mean of its divisors is an integer number (463807329615).

Almost surely, 2^{10011312142420} is an apocalyptic number.

10011312142420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011312142420 is an abundant number, since it is smaller than the sum of its proper divisors (12251439679100).

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

10011312142420 is a wasteful number, since it uses less digits than its factorization.

10011312142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048732 (or 3048730 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 10011312142420 its reverse (2424121311001), we get a palindrome (12435433453421).

The spelling of 10011312142420 in words is "ten trillion, eleven billion, three hundred twelve million, one hundred forty-two thousand, four hundred twenty".