200102021000113 has 2 divisors, whose sum is σ = 200102021000114. Its totient is φ = 200102021000112.

The previous prime is 200102021000059. The next prime is 200102021000153. The reversal of 200102021000113 is 311000120201002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199313180380224 + 788840619889 = 14117832^2 + 888167^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-200102021000113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200102021000093 and 200102021000102.

It is not a weakly prime, because it can be changed into another prime (200102021000153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100051010500056 + 100051010500057.

It is an arithmetic number, because the mean of its divisors is an integer number (100051010500057).

Almost surely, 2^{200102021000113} is an apocalyptic number.

It is an amenable number.

200102021000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

200102021000113 is an equidigital number, since it uses as much as digits as its factorization.

200102021000113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 200102021000113 its reverse (311000120201002), we get a palindrome (511102141201115).

The spelling of 200102021000113 in words is "two hundred trillion, one hundred two billion, twenty-one million, one hundred thirteen", and thus it is an aban number.