101020111121077 has 2 divisors, whose sum is σ = 101020111121078. Its totient is φ = 101020111121076.

The previous prime is 101020111121057. The next prime is 101020111121119. The reversal of 101020111121077 is 770121111020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62775212532561 + 38244898588516 = 7923081^2 + 6184246^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101020111121077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101020111121057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510055560538 + 50510055560539.

It is an arithmetic number, because the mean of its divisors is an integer number (50510055560539).

Almost surely, 2^{101020111121077} is an apocalyptic number.

It is an amenable number.

101020111121077 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020111121077 is an equidigital number, since it uses as much as digits as its factorization.

101020111121077 is an evil number, because the sum of its binary digits is even.

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

Adding to 101020111121077 its reverse (770121111020101), we get a palindrome (871141222141178).

The spelling of 101020111121077 in words is "one hundred one trillion, twenty billion, one hundred eleven million, one hundred twenty-one thousand, seventy-seven".