101110511051 has 16 divisors (see below), whose sum is σ = 110695712640. Its totient is φ = 91591456320.

The previous prime is 101110511039. The next prime is 101110511083. The reversal of 101110511051 is 150115011101.

It is a cyclic number.

It is not a de Polignac number, because 101110511051 - 2¹⁰ = 101110510027 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110511651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3546911 + ... + 3575303.

It is an arithmetic number, because the mean of its divisors is an integer number (6918482040).

Almost surely, 2^101110511051 is an apocalyptic number.

101110511051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101110511051 is a deficient number, since it is larger than the sum of its proper divisors (9585201589).

101110511051 is a wasteful number, since it uses less digits than its factorization.

101110511051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29546.

The product of its (nonzero) digits is 25, while the sum is 17.

Adding to 101110511051 its reverse (150115011101), we get a palindrome (251225522152).

The spelling of 101110511051 in words is "one hundred one billion, one hundred ten million, five hundred eleven thousand, fifty-one".