101000011101110 has 64 divisors (see below), whose sum is σ = 199797014401344. Its totient is φ = 36455794636800.

The previous prime is 101000011101103. The next prime is 101000011101131. The reversal of 101000011101110 is 11101110000101.

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, 7440530 + ... + 16042490.

It is an arithmetic number, because the mean of its divisors is an integer number (3121828350021).

Almost surely, 2^{101000011101110} is an apocalyptic number.

101000011101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000011101110 is a deficient number, since it is larger than the sum of its proper divisors (98797003300234).

101000011101110 is a wasteful number, since it uses less digits than its factorization.

101000011101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602769.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101000011101110 its reverse (11101110000101), we get a palindrome (112101121101211).

The spelling of 101000011101110 in words is "one hundred one trillion, eleven million, one hundred one thousand, one hundred ten".