101416213112323 has 16 divisors (see below), whose sum is σ = 106174665384192. Its totient is φ = 96687367524000.

The previous prime is 101416213112321. The next prime is 101416213112341. The reversal of 101416213112323 is 323211312614101.

It is a happy number.

It is not a de Polignac number, because 101416213112323 - 2¹ = 101416213112321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101416213112321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2700528 + ... + 14495698.

It is an arithmetic number, because the mean of its divisors is an integer number (6635916586512).

Almost surely, 2^{101416213112323} is an apocalyptic number.

101416213112323 is a deficient number, since it is larger than the sum of its proper divisors (4758452271869).

101416213112323 is a wasteful number, since it uses less digits than its factorization.

101416213112323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11796426.

The product of its (nonzero) digits is 5184, while the sum is 31.

Adding to 101416213112323 its reverse (323211312614101), we get a palindrome (424627525726424).

The spelling of 101416213112323 in words is "one hundred one trillion, four hundred sixteen billion, two hundred thirteen million, one hundred twelve thousand, three hundred twenty-three".