101412541416 has 64 divisors (see below), whose sum is σ = 254371478400. Its totient is φ = 33692313600.

The previous prime is 101412541411. The next prime is 101412541507. The reversal of 101412541416 is 614145214101.

101412541416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (101412541411) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13355781 + ... + 13363371.

It is an arithmetic number, because the mean of its divisors is an integer number (3974554350).

Almost surely, 2^101412541416 is an apocalyptic number.

It is an amenable number.

101412541416 is an abundant number, since it is smaller than the sum of its proper divisors (152958936984).

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

101412541416 is a wasteful number, since it uses less digits than its factorization.

101412541416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9370 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 101412541416 its reverse (614145214101), we get a palindrome (715557755517).

The spelling of 101412541416 in words is "one hundred one billion, four hundred twelve million, five hundred forty-one thousand, four hundred sixteen".