10100200201057 has 2 divisors, whose sum is σ = 10100200201058. Its totient is φ = 10100200201056.

The previous prime is 10100200201033. The next prime is 10100200201087. The reversal of 10100200201057 is 75010200200101.

10100200201057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9341587072801 + 758613128256 = 3056401^2 + 870984^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100200201057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100200201087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050100100528 + 5050100100529.

It is an arithmetic number, because the mean of its divisors is an integer number (5050100100529).

Almost surely, 2^{10100200201057} is an apocalyptic number.

It is an amenable number.

10100200201057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100200201057 is an equidigital number, since it uses as much as digits as its factorization.

10100200201057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 19.

Adding to 10100200201057 its reverse (75010200200101), we get a palindrome (85110400401158).

The spelling of 10100200201057 in words is "ten trillion, one hundred billion, two hundred million, two hundred one thousand, fifty-seven".