100211111110129 has 2 divisors, whose sum is σ = 100211111110130. Its totient is φ = 100211111110128.

The previous prime is 100211111110111. The next prime is 100211111110169. The reversal of 100211111110129 is 921011111112001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82748131560000 + 17462979550129 = 9096600^2 + 4178873^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211111110129 - 2³¹ = 100208963626481 is a prime.

It is not a weakly prime, because it can be changed into another prime (100211111110169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105555555064 + 50105555555065.

It is an arithmetic number, because the mean of its divisors is an integer number (50105555555065).

Almost surely, 2^{100211111110129} is an apocalyptic number.

It is an amenable number.

100211111110129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211111110129 is an equidigital number, since it uses as much as digits as its factorization.

100211111110129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 22.

The spelling of 100211111110129 in words is "one hundred trillion, two hundred eleven billion, one hundred eleven million, one hundred ten thousand, one hundred twenty-nine".