100166005002 has 32 divisors (see below), whose sum is σ = 228994729344. Its totient is φ = 28613376000.

The previous prime is 100166004977. The next prime is 100166005081. The reversal of 100166005002 is 200500661001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 100166005002.

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, 3999 + ... + 447602.

It is an arithmetic number, because the mean of its divisors is an integer number (7156085292).

Almost surely, 2^100166005002 is an apocalyptic number.

100166005002 is an abundant number, since it is smaller than the sum of its proper divisors (128828724342).

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

100166005002 is a wasteful number, since it uses less digits than its factorization.

100166005002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456894.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 100166005002 its reverse (200500661001), we get a palindrome (300666666003).

The spelling of 100166005002 in words is "one hundred billion, one hundred sixty-six million, five thousand, two".