10211100011029 has 2 divisors, whose sum is σ = 10211100011030. Its totient is φ = 10211100011028.

The previous prime is 10211100010997. The next prime is 10211100011041. The reversal of 10211100011029 is 92011000111201.

10211100011029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9048966422500 + 1162133588529 = 3008150^2 + 1078023^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211100011029 - 2⁵ = 10211100010997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10211100010997 and 10211100011015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10211100011069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105550005514 + 5105550005515.

It is an arithmetic number, because the mean of its divisors is an integer number (5105550005515).

Almost surely, 2^{10211100011029} is an apocalyptic number.

It is an amenable number.

10211100011029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211100011029 is an equidigital number, since it uses as much as digits as its factorization.

10211100011029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 10211100011029 in words is "ten trillion, two hundred eleven billion, one hundred million, eleven thousand, twenty-nine".