10010010101029 has 2 divisors, whose sum is σ = 10010010101030. Its totient is φ = 10010010101028.

The previous prime is 10010010100999. The next prime is 10010010101041. The reversal of 10010010101029 is 92010101001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9782288352225 + 227721748804 = 3127665^2 + 477202^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010010101029 - 2²⁹ = 10009473230117 is a prime.

It is a super-2 number, since 2×10010010101029² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010010101099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005005050514 + 5005005050515.

It is an arithmetic number, because the mean of its divisors is an integer number (5005005050515).

Almost surely, 2^{10010010101029} is an apocalyptic number.

It is an amenable number.

10010010101029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010010101029 is an equidigital number, since it uses as much as digits as its factorization.

10010010101029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 10010010101029 in words is "ten trillion, ten billion, ten million, one hundred one thousand, twenty-nine".