101220011110129 has 2 divisors, whose sum is σ = 101220011110130. Its totient is φ = 101220011110128.

The previous prime is 101220011110069. The next prime is 101220011110177. The reversal of 101220011110129 is 921011110022101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53717934879504 + 47502076230625 = 7329252^2 + 6892175^2 .

It is a cyclic number.

It is not a de Polignac number, because 101220011110129 - 2⁹ = 101220011109617 is a prime.

It is not a weakly prime, because it can be changed into another prime (101220011114129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610005555064 + 50610005555065.

It is an arithmetic number, because the mean of its divisors is an integer number (50610005555065).

Almost surely, 2^{101220011110129} is an apocalyptic number.

It is an amenable number.

101220011110129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101220011110129 is an equidigital number, since it uses as much as digits as its factorization.

101220011110129 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 22.

The spelling of 101220011110129 in words is "one hundred one trillion, two hundred twenty billion, eleven million, one hundred ten thousand, one hundred twenty-nine".