100123198157 has 2 divisors, whose sum is σ = 100123198158. Its totient is φ = 100123198156.

The previous prime is 100123198141. The next prime is 100123198169. The reversal of 100123198157 is 751891321001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76298040841 + 23825157316 = 276221^2 + 154354^2 .

It is a cyclic number.

It is not a de Polignac number, because 100123198157 - 2⁴ = 100123198141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100123198157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100123198127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061599078 + 50061599079.

It is an arithmetic number, because the mean of its divisors is an integer number (50061599079).

Almost surely, 2^100123198157 is an apocalyptic number.

It is an amenable number.

100123198157 is a deficient number, since it is larger than the sum of its proper divisors (1).

100123198157 is an equidigital number, since it uses as much as digits as its factorization.

100123198157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 38.

The spelling of 100123198157 in words is "one hundred billion, one hundred twenty-three million, one hundred ninety-eight thousand, one hundred fifty-seven".