100102012021157 has 2 divisors, whose sum is σ = 100102012021158. Its totient is φ = 100102012021156.

The previous prime is 100102012021111. The next prime is 100102012021183. The reversal of 100102012021157 is 751120210201001.

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., 88313494920676 + 11788517100481 = 9397526^2 + 3433441^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100102012021157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102012621157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051006010578 + 50051006010579.

It is an arithmetic number, because the mean of its divisors is an integer number (50051006010579).

Almost surely, 2^{100102012021157} is an apocalyptic number.

It is an amenable number.

100102012021157 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102012021157 is an equidigital number, since it uses as much as digits as its factorization.

100102012021157 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 100102012021157 its reverse (751120210201001), we get a palindrome (851222222222158).

The spelling of 100102012021157 in words is "one hundred trillion, one hundred two billion, twelve million, twenty-one thousand, one hundred fifty-seven".