101001101011110 has 256 divisors, whose sum is σ = 280883861913600. Its totient is φ = 25794032366592.

The previous prime is 101001101011093. The next prime is 101001101011147. The reversal of 101001101011110 is 11110101100101.

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 = 101001101011092 and 101001101011101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5472229002 + ... + 5472247458.

It is an arithmetic number, because the mean of its divisors is an integer number (1097202585600).

Almost surely, 2^{101001101011110} is an apocalyptic number.

101001101011110 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 101001101011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140441930956800).

101001101011110 is an abundant number, since it is smaller than the sum of its proper divisors (179882760902490).

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

101001101011110 is a wasteful number, since it uses less digits than its factorization.

101001101011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24132 (or 24126 counting only the distinct ones).

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

Adding to 101001101011110 its reverse (11110101100101), we get a palindrome (112111202111211).

The spelling of 101001101011110 in words is "one hundred one trillion, one billion, one hundred one million, eleven thousand, one hundred ten".