101201211101129 has 2 divisors, whose sum is σ = 101201211101130. Its totient is φ = 101201211101128.

The previous prime is 101201211101083. The next prime is 101201211101153. The reversal of 101201211101129 is 921101112102101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71514895395904 + 29686315705225 = 8456648^2 + 5448515^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101201211101129 is a prime.

It is not a weakly prime, because it can be changed into another prime (101201211101329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600605550564 + 50600605550565.

It is an arithmetic number, because the mean of its divisors is an integer number (50600605550565).

Almost surely, 2^{101201211101129} is an apocalyptic number.

It is an amenable number.

101201211101129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201211101129 is an equidigital number, since it uses as much as digits as its factorization.

101201211101129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 101201211101129 in words is "one hundred one trillion, two hundred one billion, two hundred eleven million, one hundred one thousand, one hundred twenty-nine".