200101012012829 has 2 divisors, whose sum is σ = 200101012012830. Its totient is φ = 200101012012828.

The previous prime is 200101012012751. The next prime is 200101012012861. The reversal of 200101012012829 is 928210210101002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110685170572804 + 89415841440025 = 10520702^2 + 9455995^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-200101012012829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200101012014829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100050506006414 + 100050506006415.

It is an arithmetic number, because the mean of its divisors is an integer number (100050506006415).

Almost surely, 2^{200101012012829} is an apocalyptic number.

It is an amenable number.

200101012012829 is a deficient number, since it is larger than the sum of its proper divisors (1).

200101012012829 is an equidigital number, since it uses as much as digits as its factorization.

200101012012829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 200101012012829 in words is "two hundred trillion, one hundred one billion, twelve million, twelve thousand, eight hundred twenty-nine".