101101111011201 has 16 divisors (see below), whose sum is σ = 154086529485824. Its totient is φ = 57761678312784.

The previous prime is 101101111011163. The next prime is 101101111011203. The reversal of 101101111011201 is 102110111101101.

It is not a de Polignac number, because 101101111011201 - 2⁹ = 101101111010689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101111011203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432593821 + ... + 432827466.

It is an arithmetic number, because the mean of its divisors is an integer number (9630408092864).

Almost surely, 2^{101101111011201} is an apocalyptic number.

It is an amenable number.

101101111011201 is a deficient number, since it is larger than the sum of its proper divisors (52985418474623).

101101111011201 is an equidigital number, since it uses as much as digits as its factorization.

101101111011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865426860.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101101111011201 its reverse (102110111101101), we get a palindrome (203211222112302).

The spelling of 101101111011201 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, eleven thousand, two hundred one".