100105001000029 has 2 divisors, whose sum is σ = 100105001000030. Its totient is φ = 100105001000028.

The previous prime is 100105000999999. The next prime is 100105001000077. The reversal of 100105001000029 is 920000100501001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97720441183225 + 2384559816804 = 9885365^2 + 1544202^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105001000029 - 2⁷ = 100105000999901 is a prime.

It is a super-2 number, since 2×100105001000029² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105001000089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052500500014 + 50052500500015.

It is an arithmetic number, because the mean of its divisors is an integer number (50052500500015).

Almost surely, 2^{100105001000029} is an apocalyptic number.

It is an amenable number.

100105001000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105001000029 is an equidigital number, since it uses as much as digits as its factorization.

100105001000029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 19.

The spelling of 100105001000029 in words is "one hundred trillion, one hundred five billion, one million, twenty-nine", and thus it is an aban number.