101330231030100 has 432 divisors, whose sum is σ = 359079725676672. Its totient is φ = 23760437944320.

The previous prime is 101330231030003. The next prime is 101330231030129. The reversal of 101330231030100 is 1030132033101.

It is a happy number.

101330231030100 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 2 + 31 + 0 + 301 + 0 + 0 = 666.

It is a super-2 number, since 2×101330231030100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11783424 + ... + 18479976.

It is an arithmetic number, because the mean of its divisors is an integer number (831203068696).

Almost surely, 2^{101330231030100} is an apocalyptic number.

101330231030100 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 101330231030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179539862838336).

101330231030100 is an abundant number, since it is smaller than the sum of its proper divisors (257749494646572).

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

101330231030100 is a wasteful number, since it uses less digits than its factorization.

101330231030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6696656 (or 6696646 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101330231030100 its reverse (1030132033101), we get a palindrome (102360363063201).

The spelling of 101330231030100 in words is "one hundred one trillion, three hundred thirty billion, two hundred thirty-one million, thirty thousand, one hundred".