101010100101149 has 2 divisors, whose sum is σ = 101010100101150. Its totient is φ = 101010100101148.

The previous prime is 101010100101089. The next prime is 101010100101187. The reversal of 101010100101149 is 941101001010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88643976198649 + 12366123902500 = 9415093^2 + 3516550^2 .

It is an emirp because it is prime and its reverse (941101001010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101010100101149 - 2⁴⁰ = 99910588473373 is a prime.

It is a super-2 number, since 2×101010100101149² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101010100101149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010100101049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505050050574 + 50505050050575.

It is an arithmetic number, because the mean of its divisors is an integer number (50505050050575).

Almost surely, 2^{101010100101149} is an apocalyptic number.

It is an amenable number.

101010100101149 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010100101149 is an equidigital number, since it uses as much as digits as its factorization.

101010100101149 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 20.

The spelling of 101010100101149 in words is "one hundred one trillion, ten billion, one hundred million, one hundred one thousand, one hundred forty-nine".