10001101157 has 2 divisors, whose sum is σ = 10001101158. Its totient is φ = 10001101156.

The previous prime is 10001101081. The next prime is 10001101169. The reversal of 10001101157 is 75110110001.

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., 8803318276 + 1197782881 = 93826^2 + 34609^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001101157 - 2²⁶ = 9933992293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001101057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550578 + 5000550579.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550579).

Almost surely, 2^10001101157 is an apocalyptic number.

It is an amenable number.

10001101157 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001101157 is an equidigital number, since it uses as much as digits as its factorization.

10001101157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 17.

Adding to 10001101157 its reverse (75110110001), we get a palindrome (85111211158).

The spelling of 10001101157 in words is "ten billion, one million, one hundred one thousand, one hundred fifty-seven".