100111101101172 has 72 divisors (see below), whose sum is σ = 289211131250496. Its totient is φ = 28603044791424.

The previous prime is 100111101101171. The next prime is 100111101101201. The reversal of 100111101101172 is 271101101111001.

100111101101172 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (100111101101171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66079623 + ... + 67577649.

It is an arithmetic number, because the mean of its divisors is an integer number (4016821267368).

Almost surely, 2^{100111101101172} is an apocalyptic number.

100111101101172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100111101101172 is an abundant number, since it is smaller than the sum of its proper divisors (189100030149324).

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

100111101101172 is a wasteful number, since it uses less digits than its factorization.

100111101101172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763237 (or 1763232 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 18.

Adding to 100111101101172 its reverse (271101101111001), we get a palindrome (371212202212173).

The spelling of 100111101101172 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred one thousand, one hundred seventy-two".