101011110200172 has 120 divisors (see below), whose sum is σ = 264650459673600. Its totient is φ = 33595482430944.

The previous prime is 101011110200171. The next prime is 101011110200201. The reversal of 101011110200172 is 271002011110101.

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

It is not an unprimeable number, because it can be changed into a prime (101011110200171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1247580163 + ... + 1247661125.

It is an arithmetic number, because the mean of its divisors is an integer number (2205420497280).

Almost surely, 2^{101011110200172} is an apocalyptic number.

101011110200172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101011110200172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132325229836800).

101011110200172 is an abundant number, since it is smaller than the sum of its proper divisors (163639349473428).

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

101011110200172 is a wasteful number, since it uses less digits than its factorization.

101011110200172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89497 (or 89486 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 18.

Adding to 101011110200172 its reverse (271002011110101), we get a palindrome (372013121310273).

The spelling of 101011110200172 in words is "one hundred one trillion, eleven billion, one hundred ten million, two hundred thousand, one hundred seventy-two".