101108137152 has 224 divisors, whose sum is σ = 302461574400. Its totient is φ = 29527142400.

The previous prime is 101108137133. The next prime is 101108137187. The reversal of 101108137152 is 251731801101.

It is a super-2 number, since 2×101108137152² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 42321174 + ... + 42323562.

Almost surely, 2^101108137152 is an apocalyptic number.

101108137152 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 101108137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151230787200).

101108137152 is an abundant number, since it is smaller than the sum of its proper divisors (201353437248).

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

101108137152 is a wasteful number, since it uses less digits than its factorization.

101108137152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 30.

Adding to 101108137152 its reverse (251731801101), we get a palindrome (352839938253).

The spelling of 101108137152 in words is "one hundred one billion, one hundred eight million, one hundred thirty-seven thousand, one hundred fifty-two".