101200115172 has 96 divisors (see below), whose sum is σ = 262008754560. Its totient is φ = 30203089920.

The previous prime is 101200115171. The next prime is 101200115179. The reversal of 101200115172 is 271511002101.

101200115172 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (101200115171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1060779 + ... + 1152237.

It is an arithmetic number, because the mean of its divisors is an integer number (2729257860).

Almost surely, 2^101200115172 is an apocalyptic number.

101200115172 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 101200115172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131004377280).

101200115172 is an abundant number, since it is smaller than the sum of its proper divisors (160808639388).

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

101200115172 is a wasteful number, since it uses less digits than its factorization.

101200115172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91693 (or 91691 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 21.

Adding to 101200115172 its reverse (271511002101), we get a palindrome (372711117273).

The spelling of 101200115172 in words is "one hundred one billion, two hundred million, one hundred fifteen thousand, one hundred seventy-two".