10101100111129 has 2 divisors, whose sum is σ = 10101100111130. Its totient is φ = 10101100111128.

The previous prime is 10101100111099. The next prime is 10101100111133. The reversal of 10101100111129 is 92111100110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9832489062400 + 268611048729 = 3135680^2 + 518277^2 .

It is an emirp because it is prime and its reverse (92111100110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101100111129 - 2¹¹ = 10101100109081 is a prime.

It is a super-2 number, since 2×10101100111129² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10101100211129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550055564 + 5050550055565.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550055565).

Almost surely, 2^{10101100111129} is an apocalyptic number.

It is an amenable number.

10101100111129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101100111129 is an equidigital number, since it uses as much as digits as its factorization.

10101100111129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 19.

The spelling of 10101100111129 in words is "ten trillion, one hundred one billion, one hundred million, one hundred eleven thousand, one hundred twenty-nine".