101101350225 has 48 divisors (see below), whose sum is σ = 172081674560. Its totient is φ = 52338182400.

The previous prime is 101101350211. The next prime is 101101350247. The reversal of 101101350225 is 522053101101.

It is not a de Polignac number, because 101101350225 - 2⁵ = 101101350193 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1125006 + ... + 1211544.

Almost surely, 2^101101350225 is an apocalyptic number.

101101350225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101101350225 is the 259617-th pentagonal number.

It is an amenable number.

101101350225 is a deficient number, since it is larger than the sum of its proper divisors (70980324335).

101101350225 is a wasteful number, since it uses less digits than its factorization.

101101350225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87010 (or 87005 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 101101350225 its reverse (522053101101), we get a palindrome (623154451326).

The spelling of 101101350225 in words is "one hundred one billion, one hundred one million, three hundred fifty thousand, two hundred twenty-five".