102201102001157 has 2 divisors, whose sum is σ = 102201102001158. Its totient is φ = 102201102001156.

The previous prime is 102201102001129. The next prime is 102201102001337. The reversal of 102201102001157 is 751100201102201.

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., 93514489343521 + 8686612657636 = 9670289^2 + 2947306^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201102001157 - 2³⁰ = 102200028259333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102201102001127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100551000578 + 51100551000579.

It is an arithmetic number, because the mean of its divisors is an integer number (51100551000579).

Almost surely, 2^{102201102001157} is an apocalyptic number.

It is an amenable number.

102201102001157 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201102001157 is an equidigital number, since it uses as much as digits as its factorization.

102201102001157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 23.

Adding to 102201102001157 its reverse (751100201102201), we get a palindrome (853301303103358).

The spelling of 102201102001157 in words is "one hundred two trillion, two hundred one billion, one hundred two million, one thousand, one hundred fifty-seven".