101010001101049 has 2 divisors, whose sum is σ = 101010001101050. Its totient is φ = 101010001101048.

The previous prime is 101010001101007. The next prime is 101010001101131. The reversal of 101010001101049 is 940101100010101.

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., 56217004840000 + 44792996261049 = 7497800^2 + 6692757^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010001101049 - 2²³ = 101009992712441 is a prime.

It is not a weakly prime, because it can be changed into another prime (101010001111049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000550524 + 50505000550525.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000550525).

Almost surely, 2^{101010001101049} is an apocalyptic number.

It is an amenable number.

101010001101049 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010001101049 is an equidigital number, since it uses as much as digits as its factorization.

101010001101049 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 19.

The spelling of 101010001101049 in words is "one hundred one trillion, ten billion, one million, one hundred one thousand, forty-nine".