101111100111111 has 16 divisors (see below), whose sum is σ = 139195488614400. Its totient is φ = 65218050339360.

The previous prime is 101111100111103. The next prime is 101111100111179. The reversal of 101111100111111 is 111111001111101.

It is not a de Polignac number, because 101111100111111 - 2³ = 101111100111103 is a prime.

It is a super-2 number, since 2×101111100111111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111100111011) 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, 123903411 + ... + 124716788.

It is an arithmetic number, because the mean of its divisors is an integer number (8699718038400).

Almost surely, 2^{101111100111111} is an apocalyptic number.

101111100111111 is a deficient number, since it is larger than the sum of its proper divisors (38084388503289).

101111100111111 is a wasteful number, since it uses less digits than its factorization.

101111100111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248624606.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 101111100111111 its reverse (111111001111101), we get a palindrome (212222101222212).

The spelling of 101111100111111 in words is "one hundred one trillion, one hundred eleven billion, one hundred million, one hundred eleven thousand, one hundred eleven".