101133105440 has 96 divisors (see below), whose sum is σ = 247876070400. Its totient is φ = 38951193600.

The previous prime is 101133105439. The next prime is 101133105457. The reversal of 101133105440 is 44501331101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935810 + ... + 1038270.

It is an arithmetic number, because the mean of its divisors is an integer number (2582042400).

Almost surely, 2^101133105440 is an apocalyptic number.

101133105440 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 101133105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123938035200).

101133105440 is an abundant number, since it is smaller than the sum of its proper divisors (146742964960).

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

101133105440 is a wasteful number, since it uses less digits than its factorization.

101133105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102706 (or 102698 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 101133105440 its reverse (44501331101), we get a palindrome (145634436541).

The spelling of 101133105440 in words is "one hundred one billion, one hundred thirty-three million, one hundred five thousand, four hundred forty".