101101010100049 has 2 divisors, whose sum is σ = 101101010100050. Its totient is φ = 101101010100048.

The previous prime is 101101010099989. The next prime is 101101010100109. The reversal of 101101010100049 is 940001010101101.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (101101010099989) and next prime (101101010100109).

It can be written as a sum of positive squares in only one way, i.e., 100981195123600 + 119814976449 = 10048940^2 + 346143^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101010100049 - 2³⁷ = 100963571146577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101010099999 and 101101010100035.

It is not a weakly prime, because it can be changed into another prime (101101010106049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550505050024 + 50550505050025.

It is an arithmetic number, because the mean of its divisors is an integer number (50550505050025).

Almost surely, 2^{101101010100049} is an apocalyptic number.

It is an amenable number.

101101010100049 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101010100049 is an equidigital number, since it uses as much as digits as its factorization.

101101010100049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 101101010100049 in words is "one hundred one trillion, one hundred one billion, ten million, one hundred thousand, forty-nine".