101110010002111 has 8 divisors (see below), whose sum is σ = 116790171981264. Its totient is φ = 86511238504320.

The previous prime is 101110010002093. The next prime is 101110010002259. The reversal of 101110010002111 is 111200010011101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101110010002111 - 2⁹ = 101110010001599 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110010032111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270347620140 + ... + 270347620513.

It is an arithmetic number, because the mean of its divisors is an integer number (14598771497658).

Almost surely, 2^{101110010002111} is an apocalyptic number.

101110010002111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101110010002111 is a deficient number, since it is larger than the sum of its proper divisors (15680161979153).

101110010002111 is a wasteful number, since it uses less digits than its factorization.

101110010002111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540695240681.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101110010002111 its reverse (111200010011101), we get a palindrome (212310020013212).

The spelling of 101110010002111 in words is "one hundred one trillion, one hundred ten billion, ten million, two thousand, one hundred eleven".