101121212077 has 2 divisors, whose sum is σ = 101121212078. Its totient is φ = 101121212076.

The previous prime is 101121212057. The next prime is 101121212111. The reversal of 101121212077 is 770212121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82454548201 + 18666663876 = 287149^2 + 136626^2 .

It is an emirp because it is prime and its reverse (770212121101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101121212077 is a prime.

It is a super-2 number, since 2×101121212077² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121212057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560606038 + 50560606039.

It is an arithmetic number, because the mean of its divisors is an integer number (50560606039).

Almost surely, 2^101121212077 is an apocalyptic number.

It is an amenable number.

101121212077 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121212077 is an equidigital number, since it uses as much as digits as its factorization.

101121212077 is an evil number, because the sum of its binary digits is even.

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

Adding to 101121212077 its reverse (770212121101), we get a palindrome (871333333178).

The spelling of 101121212077 in words is "one hundred one billion, one hundred twenty-one million, two hundred twelve thousand, seventy-seven".