101034122132130 has 32 divisors (see below), whose sum is σ = 264525701583168. Its totient is φ = 24493120516800.

The previous prime is 101034122132123. The next prime is 101034122132149. The reversal of 101034122132130 is 31231221430101.

101034122132130 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-2 number, since 2×101034122132130² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101034122132130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153082002901 + ... + 153082003560.

It is an arithmetic number, because the mean of its divisors is an integer number (8266428174474).

Almost surely, 2^{101034122132130} is an apocalyptic number.

101034122132130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101034122132130 is an abundant number, since it is smaller than the sum of its proper divisors (163491579451038).

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

101034122132130 is a wasteful number, since it uses less digits than its factorization.

101034122132130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306164006482.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101034122132130 its reverse (31231221430101), we get a palindrome (132265343562231).

The spelling of 101034122132130 in words is "one hundred one trillion, thirty-four billion, one hundred twenty-two million, one hundred thirty-two thousand, one hundred thirty".