101599779552 has 24 divisors (see below), whose sum is σ = 266699421576. Its totient is φ = 33866593152.

The previous prime is 101599779529. The next prime is 101599779559. The reversal of 101599779552 is 255977995101.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×101599779552³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101599779559) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 529165423 + ... + 529165614.

It is an arithmetic number, because the mean of its divisors is an integer number (11112475899).

Almost surely, 2^101599779552 is an apocalyptic number.

101599779552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101599779552 is an abundant number, since it is smaller than the sum of its proper divisors (165099642024).

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

101599779552 is a wasteful number, since it uses less digits than its factorization.

101599779552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058331050 (or 1058331042 counting only the distinct ones).

The product of its (nonzero) digits is 8930250, while the sum is 60.

The spelling of 101599779552 in words is "one hundred one billion, five hundred ninety-nine million, seven hundred seventy-nine thousand, five hundred fifty-two".