10012100201 has 2 divisors, whose sum is σ = 10012100202. Its totient is φ = 10012100200.

The previous prime is 10012100159. The next prime is 10012100213. The reversal of 10012100201 is 10200121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8808010201 + 1204090000 = 93851^2 + 34700^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012100201 - 2²⁶ = 9944991337 is a prime.

It is not a weakly prime, because it can be changed into another prime (10012100221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006050100 + 5006050101.

It is an arithmetic number, because the mean of its divisors is an integer number (5006050101).

Almost surely, 2^10012100201 is an apocalyptic number.

It is an amenable number.

10012100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012100201 is an equidigital number, since it uses as much as digits as its factorization.

10012100201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10012100201 its reverse (10200121001), we get a palindrome (20212221202).

The spelling of 10012100201 in words is "ten billion, twelve million, one hundred thousand, two hundred one".