100102020111257 has 2 divisors, whose sum is σ = 100102020111258. Its totient is φ = 100102020111256.

The previous prime is 100102020111143. The next prime is 100102020111293. The reversal of 100102020111257 is 752111020201001.

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., 80340047754121 + 19761972357136 = 8963261^2 + 4445444^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102020111257 - 2¹² = 100102020107161 is a prime.

It is not a weakly prime, because it can be changed into another prime (100102020111857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051010055628 + 50051010055629.

It is an arithmetic number, because the mean of its divisors is an integer number (50051010055629).

Almost surely, 2^{100102020111257} is an apocalyptic number.

It is an amenable number.

100102020111257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102020111257 is an equidigital number, since it uses as much as digits as its factorization.

100102020111257 is an evil number, because the sum of its binary digits is even.

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

Adding to 100102020111257 its reverse (752111020201001), we get a palindrome (852213040312258).

The spelling of 100102020111257 in words is "one hundred trillion, one hundred two billion, twenty million, one hundred eleven thousand, two hundred fifty-seven".