101102220011077 has 2 divisors, whose sum is σ = 101102220011078. Its totient is φ = 101102220011076.

The previous prime is 101102220011011. The next prime is 101102220011083. The reversal of 101102220011077 is 770110022201101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73800487299841 + 27301732711236 = 8590721^2 + 5225106^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101102220011077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101102220011477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551110005538 + 50551110005539.

It is an arithmetic number, because the mean of its divisors is an integer number (50551110005539).

Almost surely, 2^{101102220011077} is an apocalyptic number.

It is an amenable number.

101102220011077 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102220011077 is an equidigital number, since it uses as much as digits as its factorization.

101102220011077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 25.

Adding to 101102220011077 its reverse (770110022201101), we get a palindrome (871212242212178).

The spelling of 101102220011077 in words is "one hundred one trillion, one hundred two billion, two hundred twenty million, eleven thousand, seventy-seven".