101301652122 has 128 divisors (see below), whose sum is σ = 230717030400. Its totient is φ = 29371507200.

The previous prime is 101301652117. The next prime is 101301652141. The reversal of 101301652122 is 221256103101.

It is a happy number.

101301652122 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101301652092 and 101301652101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178034254 + ... + 178034822.

It is an arithmetic number, because the mean of its divisors is an integer number (1802476800).

Almost surely, 2^101301652122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101301652122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115358515200).

101301652122 is an abundant number, since it is smaller than the sum of its proper divisors (129415378278).

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

101301652122 is a wasteful number, since it uses less digits than its factorization.

101301652122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 101301652122 its reverse (221256103101), we get a palindrome (322557755223).

The spelling of 101301652122 in words is "one hundred one billion, three hundred one million, six hundred fifty-two thousand, one hundred twenty-two".