101100413334 has 32 divisors (see below), whose sum is σ = 213652327680. Its totient is φ = 31805043552.

The previous prime is 101100413287. The next prime is 101100413339. The reversal of 101100413334 is 433314001101.

101100413334 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101100413334³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101100413334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100413339) 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, 1656037 + ... + 1716000.

It is an arithmetic number, because the mean of its divisors is an integer number (6676635240).

Almost surely, 2^101100413334 is an apocalyptic number.

101100413334 is an abundant number, since it is smaller than the sum of its proper divisors (112551914346).

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

101100413334 is a wasteful number, since it uses less digits than its factorization.

101100413334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372324.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101100413334 its reverse (433314001101), we get a palindrome (534414414435).

The spelling of 101100413334 in words is "one hundred one billion, one hundred million, four hundred thirteen thousand, three hundred thirty-four".