10100200002901 has 2 divisors, whose sum is σ = 10100200002902. Its totient is φ = 10100200002900.

The previous prime is 10100200002833. The next prime is 10100200002913. The reversal of 10100200002901 is 10920000200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8235746300401 + 1864453702500 = 2869799^2 + 1365450^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100200002901 - 2⁷ = 10100200002773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100200012901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050100001450 + 5050100001451.

It is an arithmetic number, because the mean of its divisors is an integer number (5050100001451).

Almost surely, 2^{10100200002901} is an apocalyptic number.

It is an amenable number.

10100200002901 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100200002901 is an equidigital number, since it uses as much as digits as its factorization.

10100200002901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 10100200002901 in words is "ten trillion, one hundred billion, two hundred million, two thousand, nine hundred one".