100112101101193 has 2 divisors, whose sum is σ = 100112101101194. Its totient is φ = 100112101101192.

The previous prime is 100112101101121. The next prime is 100112101101211. The reversal of 100112101101193 is 391101101211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52592475772489 + 47519625328704 = 7252067^2 + 6893448^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112101101193 - 2²⁵ = 100112067546761 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112101104193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056050550596 + 50056050550597.

It is an arithmetic number, because the mean of its divisors is an integer number (50056050550597).

Almost surely, 2^{100112101101193} is an apocalyptic number.

It is an amenable number.

100112101101193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112101101193 is an equidigital number, since it uses as much as digits as its factorization.

100112101101193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 22.

Adding to 100112101101193 its reverse (391101101211001), we get a palindrome (491213202312194).

The spelling of 100112101101193 in words is "one hundred trillion, one hundred twelve billion, one hundred one million, one hundred one thousand, one hundred ninety-three".