101001414320 has 160 divisors (see below), whose sum is σ = 249134054400. Its totient is φ = 38003530752.

The previous prime is 101001414313. The next prime is 101001414359. The reversal of 101001414320 is 23414100101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27876029 + ... + 27879651.

It is an arithmetic number, because the mean of its divisors is an integer number (1557087840).

Almost surely, 2^101001414320 is an apocalyptic number.

101001414320 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 101001414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124567027200).

101001414320 is an abundant number, since it is smaller than the sum of its proper divisors (148132640080).

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

101001414320 is a wasteful number, since it uses less digits than its factorization.

101001414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3907 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101001414320 its reverse (23414100101), we get a palindrome (124415514421).

The spelling of 101001414320 in words is "one hundred one billion, one million, four hundred fourteen thousand, three hundred twenty".