200101010100149 has 2 divisors, whose sum is σ = 200101010100150. Its totient is φ = 200101010100148.

The previous prime is 200101010100053. The next prime is 200101010100151. The reversal of 200101010100149 is 941001010101002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190014783622225 + 10086226477924 = 13784585^2 + 3175882^2 .

It is a cyclic number.

It is not a de Polignac number, because 200101010100149 - 2²⁴ = 200100993322933 is a prime.

It is a super-2 number, since 2×200101010100149² (a number of 29 digits) contains 22 as substring.

Together with 200101010100151, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 200101010100149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200101010100749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100050505050074 + 100050505050075.

It is an arithmetic number, because the mean of its divisors is an integer number (100050505050075).

Almost surely, 2^{200101010100149} is an apocalyptic number.

It is an amenable number.

200101010100149 is a deficient number, since it is larger than the sum of its proper divisors (1).

200101010100149 is an equidigital number, since it uses as much as digits as its factorization.

200101010100149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 200101010100149 in words is "two hundred trillion, one hundred one billion, ten million, one hundred thousand, one hundred forty-nine".