101386261152 has 288 divisors, whose sum is σ = 331673771520. Its totient is φ = 29054108160.

The previous prime is 101386261099. The next prime is 101386261183. The reversal of 101386261152 is 251162683101.

101386261152 is a `hidden beast` number, since 1 + 0 + 1 + 38 + 6 + 2 + 611 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44721523 + ... + 44723789.

It is an arithmetic number, because the mean of its divisors is an integer number (1151645040).

Almost surely, 2^101386261152 is an apocalyptic number.

101386261152 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 101386261152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165836885760).

101386261152 is an abundant number, since it is smaller than the sum of its proper divisors (230287510368).

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

101386261152 is a wasteful number, since it uses less digits than its factorization.

101386261152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 101386261152 in words is "one hundred one billion, three hundred eighty-six million, two hundred sixty-one thousand, one hundred fifty-two".