10112211033077 has 2 divisors, whose sum is σ = 10112211033078. Its totient is φ = 10112211033076.

The previous prime is 10112211033013. The next prime is 10112211033101. The reversal of 10112211033077 is 77033011221101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10015490655076 + 96720378001 = 3164726^2 + 310999^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112211033077 - 2⁶ = 10112211033013 is a prime.

It is a super-3 number, since 3×10112211033077³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112211023077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056105516538 + 5056105516539.

It is an arithmetic number, because the mean of its divisors is an integer number (5056105516539).

Almost surely, 2^{10112211033077} is an apocalyptic number.

It is an amenable number.

10112211033077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112211033077 is an equidigital number, since it uses as much as digits as its factorization.

10112211033077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 29.

Adding to 10112211033077 its reverse (77033011221101), we get a palindrome (87145222254178).

The spelling of 10112211033077 in words is "ten trillion, one hundred twelve billion, two hundred eleven million, thirty-three thousand, seventy-seven".