100102162667 has 16 divisors (see below), whose sum is σ = 108326937600. Its totient is φ = 91953426432.

The previous prime is 100102162649. The next prime is 100102162673. The reversal of 100102162667 is 766261201001.

It is a cyclic number.

It is not a de Polignac number, because 100102162667 - 2⁶ = 100102162603 is a prime.

It is a super-2 number, since 2×100102162667² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100102162607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2213183 + ... + 2257959.

It is an arithmetic number, because the mean of its divisors is an integer number (6770433600).

Almost surely, 2^100102162667 is an apocalyptic number.

100102162667 is a deficient number, since it is larger than the sum of its proper divisors (8224774933).

100102162667 is a wasteful number, since it uses less digits than its factorization.

100102162667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45622.

The product of its (nonzero) digits is 6048, while the sum is 32.

Adding to 100102162667 its reverse (766261201001), we get a palindrome (866363363668).

The spelling of 100102162667 in words is "one hundred billion, one hundred two million, one hundred sixty-two thousand, six hundred sixty-seven".