101017225296 has 60 divisors (see below), whose sum is σ = 304454698548. Its totient is φ = 31082222592.

The previous prime is 101017225241. The next prime is 101017225367. The reversal of 101017225296 is 692522710101.

101017225296 is a `hidden beast` number, since 1 + 0 + 101 + 7 + 22 + 529 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22988624400 + 78028600896 = 151620^2 + 279336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101017225296.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 26979225 + ... + 26982968.

Almost surely, 2^101017225296 is an apocalyptic number.

101017225296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101017225296 is an abundant number, since it is smaller than the sum of its proper divisors (203437473252).

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

101017225296 is a wasteful number, since it uses less digits than its factorization.

101017225296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53962220 (or 53962211 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 101017225296 its reverse (692522710101), we get a palindrome (793539935397).

The spelling of 101017225296 in words is "one hundred one billion, seventeen million, two hundred twenty-five thousand, two hundred ninety-six".