100200102100057 has 2 divisors, whose sum is σ = 100200102100058. Its totient is φ = 100200102100056.

The previous prime is 100200102099859. The next prime is 100200102100079. The reversal of 100200102100057 is 750001201002001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99627168158281 + 572933941776 = 9981341^2 + 756924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100200102100057 is a prime.

It is not a weakly prime, because it can be changed into another prime (100200802100057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100051050028 + 50100051050029.

It is an arithmetic number, because the mean of its divisors is an integer number (50100051050029).

Almost surely, 2^{100200102100057} is an apocalyptic number.

It is an amenable number.

100200102100057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200102100057 is an equidigital number, since it uses as much as digits as its factorization.

100200102100057 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 100200102100057 its reverse (750001201002001), we get a palindrome (850201303102058).

The spelling of 100200102100057 in words is "one hundred trillion, two hundred billion, one hundred two million, one hundred thousand, fifty-seven".