101414030432 has 192 divisors, whose sum is σ = 242758010880. Its totient is φ = 41087692800.

The previous prime is 101414030423. The next prime is 101414030437. The reversal of 101414030432 is 234030414101.

It is a junction number, because it is equal to n+sod(n) for n = 101414030398 and 101414030407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101414030437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17509457 + ... + 17515247.

It is an arithmetic number, because the mean of its divisors is an integer number (1264364640).

Almost surely, 2^101414030432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101414030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121379005440).

101414030432 is an abundant number, since it is smaller than the sum of its proper divisors (141343980448).

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

101414030432 is a wasteful number, since it uses less digits than its factorization.

101414030432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5957 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 101414030432 its reverse (234030414101), we get a palindrome (335444444533).

The spelling of 101414030432 in words is "one hundred one billion, four hundred fourteen million, thirty thousand, four hundred thirty-two".