101111101111001 has 8 divisors (see below), whose sum is σ = 106451552467680. Its totient is φ = 95772531199968.

The previous prime is 101111101110979. The next prime is 101111101111043. The reversal of 101111101111001 is 100111101111101.

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 101111101111001 - 2²⁶ = 101111034002137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111101111051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470251091 + ... + 470466056.

It is an arithmetic number, because the mean of its divisors is an integer number (13306444058460).

Almost surely, 2^{101111101111001} is an apocalyptic number.

It is an amenable number.

101111101111001 is a deficient number, since it is larger than the sum of its proper divisors (5340451356679).

101111101111001 is an equidigital number, since it uses as much as digits as its factorization.

101111101111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940722823.

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

Adding to 101111101111001 its reverse (100111101111101), we get a palindrome (201222202222102).

The spelling of 101111101111001 in words is "one hundred one trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, one".