77012111121077 has 16 divisors (see below), whose sum is σ = 86875729528320. Its totient is φ = 67633517164800.

The previous prime is 77012111121017. The next prime is 77012111121103.

77012111121077 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 77012111121077 - 2⁴² = 72614064609973 is a prime.

It is a super-2 number, since 2×77012111121077² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77012111121077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77012111121017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198261128 + ... + 198649185.

It is an arithmetic number, because the mean of its divisors is an integer number (5429733095520).

Almost surely, 2^{77012111121077} is an apocalyptic number.

It is an amenable number.

77012111121077 is a deficient number, since it is larger than the sum of its proper divisors (9863618407243).

77012111121077 is a wasteful number, since it uses less digits than its factorization.

77012111121077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396910924.

The product of its (nonzero) digits is 9604, while the sum is 38.

It can be divided in two parts, 7701211 and 1121077, that added together give a palindrome (8822288).

The spelling of 77012111121077 in words is "seventy-seven trillion, twelve billion, one hundred eleven million, one hundred twenty-one thousand, seventy-seven".