100101101000029 has 2 divisors, whose sum is σ = 100101101000030. Its totient is φ = 100101101000028.

The previous prime is 100101101000009. The next prime is 100101101000123. The reversal of 100101101000029 is 920000101101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63566656036900 + 36534444963129 = 7972870^2 + 6044373^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101101000029 - 2²¹ = 100101098902877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101100999976 and 100101101000021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101101000009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050550500014 + 50050550500015.

It is an arithmetic number, because the mean of its divisors is an integer number (50050550500015).

Almost surely, 2^{100101101000029} is an apocalyptic number.

It is an amenable number.

100101101000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101101000029 is an equidigital number, since it uses as much as digits as its factorization.

100101101000029 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 100101101000029 in words is "one hundred trillion, one hundred one billion, one hundred one million, twenty-nine", and thus it is an aban number.