101121201110029 has 2 divisors, whose sum is σ = 101121201110030. Its totient is φ = 101121201110028.

The previous prime is 101121201109963. The next prime is 101121201110113. The reversal of 101121201110029 is 920011102121101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100506599988804 + 614601121225 = 10025298^2 + 783965^2 .

It is an emirp because it is prime and its reverse (920011102121101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101121201110029 - 2³⁹ = 100571445296141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101121201109991 and 101121201110009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121201110729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560600555014 + 50560600555015.

It is an arithmetic number, because the mean of its divisors is an integer number (50560600555015).

Almost surely, 2^{101121201110029} is an apocalyptic number.

It is an amenable number.

101121201110029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121201110029 is an equidigital number, since it uses as much as digits as its factorization.

101121201110029 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 101121201110029 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, one hundred ten thousand, twenty-nine".