101151949824 has 132 divisors (see below), whose sum is σ = 302892362864. Its totient is φ = 33717233664.

The previous prime is 101151949771. The next prime is 101151949841. The reversal of 101151949824 is 428949151101.

It is a happy number.

101151949824 is a `hidden beast` number, since 1 + 0 + 1 + 151 + 9 + 498 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101151949824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45579 + ... + 452085.

Almost surely, 2^101151949824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101151949824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151446181432).

101151949824 is an abundant number, since it is smaller than the sum of its proper divisors (201740413040).

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

101151949824 is an frugal number, since it uses more digits than its factorization.

101151949824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406542 (or 406512 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 101151949824 in words is "one hundred one billion, one hundred fifty-one million, nine hundred forty-nine thousand, eight hundred twenty-four".