101134658368 has 112 divisors (see below), whose sum is σ = 209152540800. Its totient is φ = 48492380160.

The previous prime is 101134658321. The next prime is 101134658369. The reversal of 101134658368 is 863856431101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101134658369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26003368 + ... + 26007256.

It is an arithmetic number, because the mean of its divisors is an integer number (1867433400).

Almost surely, 2^101134658368 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 101134658368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104576270400).

101134658368 is an abundant number, since it is smaller than the sum of its proper divisors (108017882432).

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

101134658368 is an equidigital number, since it uses as much as digits as its factorization.

101134658368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 101134658368 in words is "one hundred one billion, one hundred thirty-four million, six hundred fifty-eight thousand, three hundred sixty-eight".