100101002122097 has 2 divisors, whose sum is σ = 100101002122098. Its totient is φ = 100101002122096.

The previous prime is 100101002121979. The next prime is 100101002122111. The reversal of 100101002122097 is 790221200101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92171827579456 + 7929174542641 = 9600616^2 + 2815879^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101002122097 - 2³⁰ = 100099928380273 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101002122697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050501061048 + 50050501061049.

It is an arithmetic number, because the mean of its divisors is an integer number (50050501061049).

Almost surely, 2^{100101002122097} is an apocalyptic number.

It is an amenable number.

100101002122097 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101002122097 is an equidigital number, since it uses as much as digits as its factorization.

100101002122097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 26.

Adding to 100101002122097 its reverse (790221200101001), we get a palindrome (890322202223098).

The spelling of 100101002122097 in words is "one hundred trillion, one hundred one billion, two million, one hundred twenty-two thousand, ninety-seven".