101201111201077 has 2 divisors, whose sum is σ = 101201111201078. Its totient is φ = 101201111201076.

The previous prime is 101201111201053. The next prime is 101201111201137. The reversal of 101201111201077 is 770102111102101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80353403568036 + 20847707633041 = 8964006^2 + 4565929^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201111201077 - 2¹¹ = 101201111199029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101201111201027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600555600538 + 50600555600539.

It is an arithmetic number, because the mean of its divisors is an integer number (50600555600539).

Almost surely, 2^{101201111201077} is an apocalyptic number.

It is an amenable number.

101201111201077 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201111201077 is an equidigital number, since it uses as much as digits as its factorization.

101201111201077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196, while the sum is 25.

Adding to 101201111201077 its reverse (770102111102101), we get a palindrome (871303222303178).

The spelling of 101201111201077 in words is "one hundred one trillion, two hundred one billion, one hundred eleven million, two hundred one thousand, seventy-seven".