101101111111110 has 128 divisors (see below), whose sum is σ = 267344057364480. Its totient is φ = 24264681408000.

The previous prime is 101101111111081. The next prime is 101101111111111. The reversal of 101101111111110 is 11111111101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101111111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 423271596 + ... + 423510384.

It is an arithmetic number, because the mean of its divisors is an integer number (2088625448160).

Almost surely, 2^{101101111111110} is an apocalyptic number.

101101111111110 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 101101111111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133672028682240).

101101111111110 is an abundant number, since it is smaller than the sum of its proper divisors (166242946253370).

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

101101111111110 is a wasteful number, since it uses less digits than its factorization.

101101111111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251614.

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

Adding to 101101111111110 its reverse (11111111101101), we get a palindrome (112212222212211).

It can be divided in two parts, 1011011 and 11111110, that added together give a palindrome (12122121).

The spelling of 101101111111110 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, one hundred eleven thousand, one hundred ten".