10120011120029 has 2 divisors, whose sum is σ = 10120011120030. Its totient is φ = 10120011120028.

The previous prime is 10120011120019. The next prime is 10120011120031. The reversal of 10120011120029 is 92002111002101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9468482868100 + 651528251929 = 3077090^2 + 807173^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120011120029 - 2⁸ = 10120011119773 is a prime.

Together with 10120011120031, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10120011120019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060005560014 + 5060005560015.

It is an arithmetic number, because the mean of its divisors is an integer number (5060005560015).

Almost surely, 2^{10120011120029} is an apocalyptic number.

It is an amenable number.

10120011120029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120011120029 is an equidigital number, since it uses as much as digits as its factorization.

10120011120029 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 20.

The spelling of 10120011120029 in words is "ten trillion, one hundred twenty billion, eleven million, one hundred twenty thousand, twenty-nine".