101000110101110 has 256 divisors, whose sum is σ = 205149296740608. Its totient is φ = 35493728256000.

The previous prime is 101000110101073. The next prime is 101000110101133. The reversal of 101000110101110 is 11101011000101.

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 127 ways as a sum of consecutive naturals, for example, 41444442812 + ... + 41444445248.

It is an arithmetic number, because the mean of its divisors is an integer number (801364440393).

Almost surely, 2^{101000110101110} is an apocalyptic number.

101000110101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000110101110 is an abundant number, since it is smaller than the sum of its proper divisors (104149186639498).

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

101000110101110 is a wasteful number, since it uses less digits than its factorization.

101000110101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139.

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

Adding to 101000110101110 its reverse (11101011000101), we get a palindrome (112101121101211).

It can be divided in two parts, 1010001 and 10101110, that added together give a palindrome (11111111).

The spelling of 101000110101110 in words is "one hundred one trillion, one hundred ten million, one hundred one thousand, one hundred ten".