101011264530 has 384 divisors, whose sum is σ = 296502425856. Its totient is φ = 21762048000.

The previous prime is 101011264483. The next prime is 101011264531. The reversal of 101011264530 is 35462110101.

It is a happy number.

It is a super-2 number, since 2×101011264530² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101011264530.

It is not an unprimeable number, because it can be changed into a prime (101011264531) 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 191 ways as a sum of consecutive naturals, for example, 299736522 + ... + 299736858.

It is an arithmetic number, because the mean of its divisors is an integer number (772141734).

Almost surely, 2^101011264530 is an apocalyptic number.

101011264530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101011264530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148251212928).

101011264530 is an abundant number, since it is smaller than the sum of its proper divisors (195491161326).

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

101011264530 is a wasteful number, since it uses less digits than its factorization.

101011264530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 499 counting only the distinct ones).

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

Adding to 101011264530 its reverse (35462110101), we get a palindrome (136473374631).

The spelling of 101011264530 in words is "one hundred one billion, eleven million, two hundred sixty-four thousand, five hundred thirty".