10018292010020 has 72 divisors (see below), whose sum is σ = 24474247826616. Its totient is φ = 3434703799296.

The previous prime is 10018292010011. The next prime is 10018292010043. The reversal of 10018292010020 is 2001029281001.

It can be written as a sum of positive squares in 4 ways, for example, as 21211592164 + 9997080417856 = 145642^2 + 3161816^2 .

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 23 ways as a sum of consecutive naturals, for example, 25635932 + ... + 26023788.

It is an arithmetic number, because the mean of its divisors is an integer number (339920108703).

Almost surely, 2^{10018292010020} is an apocalyptic number.

10018292010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10018292010020 is an abundant number, since it is smaller than the sum of its proper divisors (14455955816596).

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

10018292010020 is a wasteful number, since it uses less digits than its factorization.

10018292010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414237 (or 414228 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 10018292010020 in words is "ten trillion, eighteen billion, two hundred ninety-two million, ten thousand, twenty".