101113442432416 has 48 divisors (see below), whose sum is σ = 218045088240840. Its totient is φ = 45942010347520.

The previous prime is 101113442432411. The next prime is 101113442432417. The reversal of 101113442432416 is 614234244311101.

It can be written as a sum of positive squares in 4 ways, for example, as 100857912182416 + 255530250000 = 10042804^2 + 505500^2 .

It is not an unprimeable number, because it can be changed into a prime (101113442432411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3204644545 + ... + 3204676096.

Almost surely, 2^{101113442432416} is an apocalyptic number.

101113442432416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101113442432416 is an abundant number, since it is smaller than the sum of its proper divisors (116931645808424).

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

101113442432416 is a wasteful number, since it uses less digits than its factorization.

101113442432416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409320697 (or 6409320689 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

Adding to 101113442432416 its reverse (614234244311101), we get a palindrome (715347686743517).

The spelling of 101113442432416 in words is "one hundred one trillion, one hundred thirteen billion, four hundred forty-two million, four hundred thirty-two thousand, four hundred sixteen".