1012110029101 has 2 divisors, whose sum is σ = 1012110029102. Its totient is φ = 1012110029100.

The previous prime is 1012110029087. The next prime is 1012110029113. The reversal of 1012110029101 is 1019200112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 916808165001 + 95301864100 = 957501^2 + 308710^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012110029101 - 2⁵ = 1012110029069 is a prime.

It is a super-2 number, since 2×1012110029101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012110029191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506055014550 + 506055014551.

It is an arithmetic number, because the mean of its divisors is an integer number (506055014551).

Almost surely, 2^{1012110029101} is an apocalyptic number.

It is an amenable number.

1012110029101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012110029101 is an equidigital number, since it uses as much as digits as its factorization.

1012110029101 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 19.

The spelling of 1012110029101 in words is "one trillion, twelve billion, one hundred ten million, twenty-nine thousand, one hundred one".