1011002121229 has 2 divisors, whose sum is σ = 1011002121230. Its totient is φ = 1011002121228.

The previous prime is 1011002121167. The next prime is 1011002121253. The reversal of 1011002121229 is 9221212001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 905165765604 + 105836355625 = 951402^2 + 325325^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011002121229 - 2¹⁷ = 1011001990157 is a prime.

It is a super-2 number, since 2×1011002121229² (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 (1011002121029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505501060614 + 505501060615.

It is an arithmetic number, because the mean of its divisors is an integer number (505501060615).

Almost surely, 2^{1011002121229} is an apocalyptic number.

It is an amenable number.

1011002121229 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011002121229 is an equidigital number, since it uses as much as digits as its factorization.

1011002121229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 1011002121229 in words is "one trillion, eleven billion, two million, one hundred twenty-one thousand, two hundred twenty-nine".