10100410157 has 2 divisors, whose sum is σ = 10100410158. Its totient is φ = 10100410156.

The previous prime is 10100410129. The next prime is 10100410163. The reversal of 10100410157 is 75101400101.

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., 10060290601 + 40119556 = 100301^2 + 6334^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100410157 - 2⁶ = 10100410093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100410057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050205078 + 5050205079.

It is an arithmetic number, because the mean of its divisors is an integer number (5050205079).

Almost surely, 2^10100410157 is an apocalyptic number.

It is an amenable number.

10100410157 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100410157 is an equidigital number, since it uses as much as digits as its factorization.

10100410157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 20.

Adding to 10100410157 its reverse (75101400101), we get a palindrome (85201810258).

The spelling of 10100410157 in words is "ten billion, one hundred million, four hundred ten thousand, one hundred fifty-seven".