10102100212129 has 2 divisors, whose sum is σ = 10102100212130. Its totient is φ = 10102100212128.

The previous prime is 10102100212103. The next prime is 10102100212151. The reversal of 10102100212129 is 92121200120101.

It is an a-pointer prime, because the next prime (10102100212151) can be obtained adding 10102100212129 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8980570497600 + 1121529714529 = 2996760^2 + 1059023^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102100212129 - 2¹⁷ = 10102100081057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102100212159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051050106064 + 5051050106065.

It is an arithmetic number, because the mean of its divisors is an integer number (5051050106065).

Almost surely, 2^{10102100212129} is an apocalyptic number.

It is an amenable number.

10102100212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102100212129 is an equidigital number, since it uses as much as digits as its factorization.

10102100212129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 10102100212129 in words is "ten trillion, one hundred two billion, one hundred million, two hundred twelve thousand, one hundred twenty-nine".