1001121749977 has 2 divisors, whose sum is σ = 1001121749978. Its totient is φ = 1001121749976.

The previous prime is 1001121749921. The next prime is 1001121750029. The reversal of 1001121749977 is 7799471211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 889816776601 + 111304973376 = 943301^2 + 333624^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001121749977 - 2¹¹ = 1001121747929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001121749977.

It is not a weakly prime, because it can be changed into another prime (1001121729977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500560874988 + 500560874989.

It is an arithmetic number, because the mean of its divisors is an integer number (500560874989).

Almost surely, 2^{1001121749977} is an apocalyptic number.

It is an amenable number.

1001121749977 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001121749977 is an equidigital number, since it uses as much as digits as its factorization.

1001121749977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 222264, while the sum is 49.

The spelling of 1001121749977 in words is "one trillion, one billion, one hundred twenty-one million, seven hundred forty-nine thousand, nine hundred seventy-seven".