101414131432100 has 144 divisors (see below), whose sum is σ = 228773972684880. Its totient is φ = 38975019417600.

The previous prime is 101414131432057. The next prime is 101414131432111. The reversal of 101414131432100 is 1234131414101.

101414131432100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 42217480260004 + 59196651172096 = 6497498^2 + 7693936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101414131432100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742995860 + ... + 743132340.

It is an arithmetic number, because the mean of its divisors is an integer number (1588708143645).

Almost surely, 2^{101414131432100} is an apocalyptic number.

101414131432100 is a gapful number since it is divisible by the number (10) 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 101414131432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114386986342440).

101414131432100 is an abundant number, since it is smaller than the sum of its proper divisors (127359841252780).

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

101414131432100 is a wasteful number, since it uses less digits than its factorization.

101414131432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137778 (or 137771 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 101414131432100 its reverse (1234131414101), we get a palindrome (102648262846201).

The spelling of 101414131432100 in words is "one hundred one trillion, four hundred fourteen billion, one hundred thirty-one million, four hundred thirty-two thousand, one hundred".