100001203164 has 72 divisors (see below), whose sum is σ = 254453472000. Its totient is φ = 33113846304.

The previous prime is 100001203163. The next prime is 100001203229. The reversal of 100001203164 is 461302100001.

It is a happy number.

It is a super-2 number, since 2×100001203164² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001203163) by changing a digit.

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, 3591207 + ... + 3618945.

It is an arithmetic number, because the mean of its divisors is an integer number (3534076000).

Almost surely, 2^100001203164 is an apocalyptic number.

It is an amenable number.

100001203164 is an abundant number, since it is smaller than the sum of its proper divisors (154452268836).

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

100001203164 is a wasteful number, since it uses less digits than its factorization.

100001203164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28407 (or 28402 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100001203164 its reverse (461302100001), we get a palindrome (561303303165).

The spelling of 100001203164 in words is "one hundred billion, one million, two hundred three thousand, one hundred sixty-four".