101014405540 has 192 divisors, whose sum is σ = 232870256640. Its totient is φ = 36682813440.

The previous prime is 101014405447. The next prime is 101014405543. The reversal of 101014405540 is 45504410101.

It is not an unprimeable number, because it can be changed into a prime (101014405543) by changing a digit.

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, 186717670 + ... + 186718210.

It is an arithmetic number, because the mean of its divisors is an integer number (1212865920).

Almost surely, 2^101014405540 is an apocalyptic number.

101014405540 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 101014405540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116435128320).

101014405540 is an abundant number, since it is smaller than the sum of its proper divisors (131855851100).

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

101014405540 is a wasteful number, since it uses less digits than its factorization.

101014405540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 101014405540 its reverse (45504410101), we get a palindrome (146518815641).

The spelling of 101014405540 in words is "one hundred one billion, fourteen million, four hundred five thousand, five hundred forty".