101111001001110 has 128 divisors (see below), whose sum is σ = 274754248560000. Its totient is φ = 26450581487616.

The previous prime is 101111001001099. The next prime is 101111001001123. The reversal of 101111001001110 is 11100100111101.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101111001001092 and 101111001001101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104970966 + ... + 105929814.

It is an arithmetic number, because the mean of its divisors is an integer number (2146517566875).

Almost surely, 2^{101111001001110} is an apocalyptic number.

101111001001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111001001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137377124280000).

101111001001110 is an abundant number, since it is smaller than the sum of its proper divisors (173643247558890).

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

101111001001110 is a wasteful number, since it uses less digits than its factorization.

101111001001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966287 (or 966281 counting only the distinct ones).

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

Adding to 101111001001110 its reverse (11100100111101), we get a palindrome (112211101112211).

The spelling of 101111001001110 in words is "one hundred one trillion, one hundred eleven billion, one million, one thousand, one hundred ten".