101012120177 has 2 divisors, whose sum is σ = 101012120178. Its totient is φ = 101012120176.

The previous prime is 101012120171. The next prime is 101012120203. The reversal of 101012120177 is 771021210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100999382416 + 12737761 = 317804^2 + 3569^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012120177 - 2¹⁴ = 101012103793 is a prime.

It is a super-2 number, since 2×101012120177² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101012120171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506060088 + 50506060089.

It is an arithmetic number, because the mean of its divisors is an integer number (50506060089).

Almost surely, 2^101012120177 is an apocalyptic number.

It is an amenable number.

101012120177 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012120177 is an equidigital number, since it uses as much as digits as its factorization.

101012120177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196, while the sum is 23.

Adding to 101012120177 its reverse (771021210101), we get a palindrome (872033330278).

The spelling of 101012120177 in words is "one hundred one billion, twelve million, one hundred twenty thousand, one hundred seventy-seven".