101338349560 has 128 divisors (see below), whose sum is σ = 264740037120. Its totient is φ = 34191539712.

The previous prime is 101338349551. The next prime is 101338349569. The reversal of 101338349560 is 65943833101.

It is an interprime number because it is at equal distance from previous prime (101338349551) and next prime (101338349569).

It is a super-2 number, since 2×101338349560² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101338349569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24517254 + ... + 24521386.

It is an arithmetic number, because the mean of its divisors is an integer number (2068281540).

Almost surely, 2^101338349560 is an apocalyptic number.

101338349560 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 101338349560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132370018560).

101338349560 is an abundant number, since it is smaller than the sum of its proper divisors (163401687560).

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

101338349560 is a wasteful number, since it uses less digits than its factorization.

101338349560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525 (or 5521 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 101338349560 in words is "one hundred one billion, three hundred thirty-eight million, three hundred forty-nine thousand, five hundred sixty".