10001100100157 has 2 divisors, whose sum is σ = 10001100100158. Its totient is φ = 10001100100156.

The previous prime is 10001100100109. The next prime is 10001100100241. The reversal of 10001100100157 is 75100100110001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9769412867236 + 231687232921 = 3125606^2 + 481339^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001100100157 - 2¹⁴ = 10001100083773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001100190157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550050078 + 5000550050079.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550050079).

Almost surely, 2^{10001100100157} is an apocalyptic number.

It is an amenable number.

10001100100157 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001100100157 is an equidigital number, since it uses as much as digits as its factorization.

10001100100157 is an evil number, because the sum of its binary digits is even.

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

Adding to 10001100100157 its reverse (75100100110001), we get a palindrome (85101200210158).

The spelling of 10001100100157 in words is "ten trillion, one billion, one hundred million, one hundred thousand, one hundred fifty-seven".