101086110851 has 16 divisors (see below), whose sum is σ = 110966623488. Its totient is φ = 91321048800.

The previous prime is 101086110833. The next prime is 101086110863. The reversal of 101086110851 is 158011680101.

It is a cyclic number.

It is not a de Polignac number, because 101086110851 - 2²⁶ = 101019001987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101086110551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11114816 + ... + 11123906.

It is an arithmetic number, because the mean of its divisors is an integer number (6935413968).

Almost surely, 2^101086110851 is an apocalyptic number.

101086110851 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101086110851 is a deficient number, since it is larger than the sum of its proper divisors (9880512637).

101086110851 is a wasteful number, since it uses less digits than its factorization.

101086110851 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15322.

The product of its (nonzero) digits is 1920, while the sum is 32.

Adding to 101086110851 its reverse (158011680101), we get a palindrome (259097790952).

The spelling of 101086110851 in words is "one hundred one billion, eighty-six million, one hundred ten thousand, eight hundred fifty-one".