10102101211129 has 2 divisors, whose sum is σ = 10102101211130. Its totient is φ = 10102101211128.

The previous prime is 10102101211061. The next prime is 10102101211141. The reversal of 10102101211129 is 92111210120101.

It is a happy number.

10102101211129 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., 6689195977104 + 3412905234025 = 2586348^2 + 1847405^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102101211129 - 2²⁵ = 10102067656697 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102105211129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051050605564 + 5051050605565.

It is an arithmetic number, because the mean of its divisors is an integer number (5051050605565).

Almost surely, 2^{10102101211129} is an apocalyptic number.

It is an amenable number.

10102101211129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102101211129 is an equidigital number, since it uses as much as digits as its factorization.

10102101211129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 10102101211129 in words is "ten trillion, one hundred two billion, one hundred one million, two hundred eleven thousand, one hundred twenty-nine".