101533412416 has 56 divisors (see below), whose sum is σ = 210575493504. Its totient is φ = 48482058240.

The previous prime is 101533412369. The next prime is 101533412429. The reversal of 101533412416 is 614214335101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 874176 + ... + 983488.

Almost surely, 2^101533412416 is an apocalyptic number.

101533412416 is a gapful number since it is divisible by the number (16) 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 101533412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105287746752).

101533412416 is an abundant number, since it is smaller than the sum of its proper divisors (109042081088).

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

101533412416 is a wasteful number, since it uses less digits than its factorization.

101533412416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109979 (or 109969 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 101533412416 its reverse (614214335101), we get a palindrome (715747747517).

The spelling of 101533412416 in words is "one hundred one billion, five hundred thirty-three million, four hundred twelve thousand, four hundred sixteen".