100735222104157 has 2 divisors, whose sum is σ = 100735222104158. Its totient is φ = 100735222104156.

The previous prime is 100735222104067. The next prime is 100735222104191. The reversal of 100735222104157 is 751401222537001.

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., 99281415568036 + 1453806536121 = 9964006^2 + 1205739^2 .

It is an emirp because it is prime and its reverse (751401222537001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100735222104157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100735222104457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50367611052078 + 50367611052079.

It is an arithmetic number, because the mean of its divisors is an integer number (50367611052079).

Almost surely, 2^{100735222104157} is an apocalyptic number.

It is an amenable number.

100735222104157 is a deficient number, since it is larger than the sum of its proper divisors (1).

100735222104157 is an equidigital number, since it uses as much as digits as its factorization.

100735222104157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 100735222104157 in words is "one hundred trillion, seven hundred thirty-five billion, two hundred twenty-two million, one hundred four thousand, one hundred fifty-seven".