1011201102077 has 2 divisors, whose sum is σ = 1011201102078. Its totient is φ = 1011201102076.

The previous prime is 1011201102071. The next prime is 1011201102127. The reversal of 1011201102077 is 7702011021101.

1011201102077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1005649958041 + 5551144036 = 1002821^2 + 74506^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011201102077 - 2¹⁴ = 1011201085693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011201102071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505600551038 + 505600551039.

It is an arithmetic number, because the mean of its divisors is an integer number (505600551039).

Almost surely, 2^{1011201102077} is an apocalyptic number.

It is an amenable number.

1011201102077 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011201102077 is an equidigital number, since it uses as much as digits as its factorization.

1011201102077 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 23.

Adding to 1011201102077 its reverse (7702011021101), we get a palindrome (8713212123178).

The spelling of 1011201102077 in words is "one trillion, eleven billion, two hundred one million, one hundred two thousand, seventy-seven".