101110133201 has 16 divisors (see below), whose sum is σ = 126788070528. Its totient is φ = 78331689600.

The previous prime is 101110133191. The next prime is 101110133207. The reversal of 101110133201 is 102331011101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101110133201 - 2¹⁴ = 101110116817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101110133207) 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 15 ways as a sum of consecutive naturals, for example, 3781820 + ... + 3808461.

It is an arithmetic number, because the mean of its divisors is an integer number (7924254408).

Almost surely, 2^101110133201 is an apocalyptic number.

101110133201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101110133201 is a deficient number, since it is larger than the sum of its proper divisors (25677937327).

101110133201 is a wasteful number, since it uses less digits than its factorization.

101110133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590472.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 101110133201 its reverse (102331011101), we get a palindrome (203441144302).

The spelling of 101110133201 in words is "one hundred one billion, one hundred ten million, one hundred thirty-three thousand, two hundred one".