101110111011101 has 8 divisors (see below), whose sum is σ = 103262276492544. Its totient is φ = 98957982468240.

The previous prime is 101110111011089. The next prime is 101110111011137.

101110111011101 is nontrivially palindromic in base 10.

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 101110111011101 - 2¹⁸ = 101110110748957 is a prime.

101110111011101 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110111011401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3666530 + ... + 14685491.

It is an arithmetic number, because the mean of its divisors is an integer number (12907784561568).

Almost surely, 2^{101110111011101} is an apocalyptic number.

It is an amenable number.

101110111011101 is a deficient number, since it is larger than the sum of its proper divisors (2152165481443).

101110111011101 is a wasteful number, since it uses less digits than its factorization.

101110111011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18469291.

The product of its (nonzero) digits is 1, while the sum is 11.

The spelling of 101110111011101 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, eleven thousand, one hundred one".