100112110081 has 2 divisors, whose sum is σ = 100112110082. Its totient is φ = 100112110080.

The previous prime is 100112110039. The next prime is 100112110121. The reversal of 100112110081 is 180011211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98103636225 + 2008473856 = 313215^2 + 44816^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112110081 - 2⁷ = 100112109953 is a prime.

It is a super-2 number, since 2×100112110081² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100112110031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056055040 + 50056055041.

It is an arithmetic number, because the mean of its divisors is an integer number (50056055041).

Almost surely, 2^100112110081 is an apocalyptic number.

It is an amenable number.

100112110081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112110081 is an equidigital number, since it uses as much as digits as its factorization.

100112110081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 100112110081 its reverse (180011211001), we get a palindrome (280123321082).

The spelling of 100112110081 in words is "one hundred billion, one hundred twelve million, one hundred ten thousand, eighty-one".