101145299841520 has 640 divisors, whose sum is σ = 277310051020800. Its totient is φ = 34002474598400.

The previous prime is 101145299841517. The next prime is 101145299841527. The reversal of 101145299841520 is 25148992541101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101145299841527) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49605344661 + ... + 49605346699.

It is an arithmetic number, because the mean of its divisors is an integer number (433296954720).

Almost surely, 2^{101145299841520} is an apocalyptic number.

101145299841520 is a gapful number since it is divisible by the number (10) 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 101145299841520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138655025510400).

101145299841520 is an abundant number, since it is smaller than the sum of its proper divisors (176164751179280).

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

101145299841520 is a wasteful number, since it uses less digits than its factorization.

101145299841520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 52.

The spelling of 101145299841520 in words is "one hundred one trillion, one hundred forty-five billion, two hundred ninety-nine million, eight hundred forty-one thousand, five hundred twenty".