102100101210157 has 2 divisors, whose sum is σ = 102100101210158. Its totient is φ = 102100101210156.

The previous prime is 102100101210131. The next prime is 102100101210169. The reversal of 102100101210157 is 751012101001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70334489272356 + 31765611937801 = 8386566^2 + 5636099^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100101210157 - 2¹¹ = 102100101208109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100101210557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050050605078 + 51050050605079.

It is an arithmetic number, because the mean of its divisors is an integer number (51050050605079).

Almost surely, 2^{102100101210157} is an apocalyptic number.

It is an amenable number.

102100101210157 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100101210157 is an equidigital number, since it uses as much as digits as its factorization.

102100101210157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 22.

Adding to 102100101210157 its reverse (751012101001201), we get a palindrome (853112202211358).

The spelling of 102100101210157 in words is "one hundred two trillion, one hundred billion, one hundred one million, two hundred ten thousand, one hundred fifty-seven".