100122002001949 has 2 divisors, whose sum is σ = 100122002001950. Its totient is φ = 100122002001948.

The previous prime is 100122002001899. The next prime is 100122002002081. The reversal of 100122002001949 is 949100200221001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97784053970724 + 2337948031225 = 9888582^2 + 1529035^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122002001949 - 2¹⁹ = 100122001477661 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100122002001949.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122002301949) 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, 50061001000974 + 50061001000975.

It is an arithmetic number, because the mean of its divisors is an integer number (50061001000975).

Almost surely, 2^{100122002001949} is an apocalyptic number.

It is an amenable number.

100122002001949 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122002001949 is an equidigital number, since it uses as much as digits as its factorization.

100122002001949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 100122002001949 in words is "one hundred trillion, one hundred twenty-two billion, two million, one thousand, nine hundred forty-nine".