101101100000265 has 128 divisors (see below), whose sum is σ = 183867879744000. Its totient is φ = 52694480931840.

The previous prime is 101101100000129. The next prime is 101101100000267. The reversal of 101101100000265 is 562000001101101.

It is a happy number.

It is not a de Polignac number, because 101101100000265 - 2⁸ = 101101100000009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101101100000267) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1106420119 + ... + 1106511491.

It is an arithmetic number, because the mean of its divisors is an integer number (1436467810500).

Almost surely, 2^{101101100000265} is an apocalyptic number.

101101100000265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101101100000265 is a deficient number, since it is larger than the sum of its proper divisors (82766779743735).

101101100000265 is a wasteful number, since it uses less digits than its factorization.

101101100000265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92424 (or 92418 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 101101100000265 its reverse (562000001101101), we get a palindrome (663101101101366).

The spelling of 101101100000265 in words is "one hundred one trillion, one hundred one billion, one hundred million, two hundred sixty-five", and thus it is an aban number.