1001012121029 has 2 divisors, whose sum is σ = 1001012121030. Its totient is φ = 1001012121028.

The previous prime is 1001012120981. The next prime is 1001012121107. The reversal of 1001012121029 is 9201212101001.

1001012121029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 579813717025 + 421198404004 = 761455^2 + 648998^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001012121029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001012121029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001012120029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500506060514 + 500506060515.

It is an arithmetic number, because the mean of its divisors is an integer number (500506060515).

Almost surely, 2^{1001012121029} is an apocalyptic number.

It is an amenable number.

1001012121029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001012121029 is an equidigital number, since it uses as much as digits as its factorization.

1001012121029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 1001012121029 in words is "one trillion, one billion, twelve million, one hundred twenty-one thousand, twenty-nine".