101111100001110 has 48 divisors (see below), whose sum is σ = 264563311377456. Its totient is φ = 26791221397824.

The previous prime is 101111100001063. The next prime is 101111100001129. The reversal of 101111100001110 is 11100001111101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101111100001092 and 101111100001101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3577873344 + ... + 3577901603.

It is an arithmetic number, because the mean of its divisors is an integer number (5511735653697).

Almost surely, 2^{101111100001110} is an apocalyptic number.

101111100001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101111100001110 is an abundant number, since it is smaller than the sum of its proper divisors (163452211376346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101111100001110 is a wasteful number, since it uses less digits than its factorization.

101111100001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7155775117 (or 7155775114 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101111100001110 its reverse (11100001111101), we get a palindrome (112211101112211).

The spelling of 101111100001110 in words is "one hundred one trillion, one hundred eleven billion, one hundred million, one thousand, one hundred ten".