77270101 has 2 divisors, whose sum is σ = 77270102. Its totient is φ = 77270100.

The previous prime is 77270071. The next prime is 77270107. The reversal of 77270101 is 10107277.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74805201 + 2464900 = 8649^2 + 1570^2 .

It is an emirp because it is prime and its reverse (10107277) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77270101 - 2¹³ = 77261909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77270107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38635050 + 38635051.

It is an arithmetic number, because the mean of its divisors is an integer number (38635051).

Almost surely, 2^77270101 is an apocalyptic number.

77270101 is the 5560-th centered pentagonal number.

It is an amenable number.

77270101 is a deficient number, since it is larger than the sum of its proper divisors (1).

77270101 is an equidigital number, since it uses as much as digits as its factorization.

77270101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 686, while the sum is 25.

The square root of 77270101 is about 8790.3413471833. The cubic root of 77270101 is about 425.9289502908.

Adding to 77270101 its reverse (10107277), we get a palindrome (87377378).

The spelling of 77270101 in words is "seventy-seven million, two hundred seventy thousand, one hundred one".