10001100506172 has 12 divisors (see below), whose sum is σ = 23335901181096. Its totient is φ = 3333700168720.

The previous prime is 10001100506171. The next prime is 10001100506179. The reversal of 10001100506172 is 27160500110001.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×10001100506172² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001100506171) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 416712521079 + ... + 416712521102.

It is an arithmetic number, because the mean of its divisors is an integer number (1944658431758).

Almost surely, 2^{10001100506172} is an apocalyptic number.

10001100506172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001100506172 is an abundant number, since it is smaller than the sum of its proper divisors (13334800674924).

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

10001100506172 is a wasteful number, since it uses less digits than its factorization.

10001100506172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833425042188 (or 833425042186 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

Adding to 10001100506172 its reverse (27160500110001), we get a palindrome (37161600616173).

The spelling of 10001100506172 in words is "ten trillion, one billion, one hundred million, five hundred six thousand, one hundred seventy-two".