100211209748057 has 2 divisors, whose sum is σ = 100211209748058. Its totient is φ = 100211209748056.

The previous prime is 100211209748047. The next prime is 100211209748059. The reversal of 100211209748057 is 750847902112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71608084168336 + 28603125579721 = 8462156^2 + 5348189^2 .

It is an emirp because it is prime and its reverse (750847902112001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100211209748057 - 2¹² = 100211209743961 is a prime.

Together with 100211209748059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100211209748059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105604874028 + 50105604874029.

It is an arithmetic number, because the mean of its divisors is an integer number (50105604874029).

Almost surely, 2^{100211209748057} is an apocalyptic number.

It is an amenable number.

100211209748057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211209748057 is an equidigital number, since it uses as much as digits as its factorization.

100211209748057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 282240, while the sum is 47.

The spelling of 100211209748057 in words is "one hundred trillion, two hundred eleven billion, two hundred nine million, seven hundred forty-eight thousand, fifty-seven".