101001100001110 has 16 divisors (see below), whose sum is σ = 181803921138000. Its totient is φ = 40400008636896.

The previous prime is 101001100000991. The next prime is 101001100001143. The reversal of 101001100001110 is 11100001100101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101001100001093 and 101001100001102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52936185 + ... + 54810964.

It is an arithmetic number, because the mean of its divisors is an integer number (11362745071125).

Almost surely, 2^{101001100001110} is an apocalyptic number.

101001100001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001100001110 is a deficient number, since it is larger than the sum of its proper divisors (80802821136890).

101001100001110 is a wasteful number, since it uses less digits than its factorization.

101001100001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107840895.

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

Adding to 101001100001110 its reverse (11100001100101), we get a palindrome (112101101101211).

The spelling of 101001100001110 in words is "one hundred one trillion, one billion, one hundred million, one thousand, one hundred ten".