101110000101110 has 256 divisors, whose sum is σ = 257252386406400. Its totient is φ = 27556255987200.

The previous prime is 101110000101083. The next prime is 101110000101113. The reversal of 101110000101110 is 11101000011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110000101113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1922984801 + ... + 1923037379.

It is an arithmetic number, because the mean of its divisors is an integer number (1004892134400).

Almost surely, 2^{101110000101110} is an apocalyptic number.

101110000101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101110000101110 is an abundant number, since it is smaller than the sum of its proper divisors (156142386305290).

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

101110000101110 is a wasteful number, since it uses less digits than its factorization.

101110000101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62747.

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

Adding to 101110000101110 its reverse (11101000011101), we get a palindrome (112211000112211).

Subtracting from 101110000101110 its reverse (11101000011101), we obtain a palindrome (90009000090009).

The spelling of 101110000101110 in words is "one hundred one trillion, one hundred ten billion, one hundred one thousand, one hundred ten".