101000101001110 has 64 divisors (see below), whose sum is σ = 193840868975040. Its totient is φ = 37757881774080.

The previous prime is 101000101001057. The next prime is 101000101001201. The reversal of 101000101001110 is 11100101000101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101000101001093 and 101000101001102.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 41768265 + ... + 44120155.

It is an arithmetic number, because the mean of its divisors is an integer number (3028763577735).

Almost surely, 2^{101000101001110} is an apocalyptic number.

101000101001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000101001110 is a deficient number, since it is larger than the sum of its proper divisors (92840767973930).

101000101001110 is a wasteful number, since it uses less digits than its factorization.

101000101001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353681.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101000101001110 its reverse (11100101000101), we get a palindrome (112100202001211).

The spelling of 101000101001110 in words is "one hundred one trillion, one hundred one million, one thousand, one hundred ten".