100121100000029 has 2 divisors, whose sum is σ = 100121100000030. Its totient is φ = 100121100000028.

The previous prime is 100121099999957. The next prime is 100121100000071. The reversal of 100121100000029 is 920000001121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94994847040900 + 5126252959129 = 9746530^2 + 2264123^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121100000029 - 2²⁴ = 100121083222813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100121099999962 and 100121100000016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121100000329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060550000014 + 50060550000015.

It is an arithmetic number, because the mean of its divisors is an integer number (50060550000015).

Almost surely, 2^{100121100000029} is an apocalyptic number.

It is an amenable number.

100121100000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121100000029 is an equidigital number, since it uses as much as digits as its factorization.

100121100000029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 100121100000029 in words is "one hundred trillion, one hundred twenty-one billion, one hundred million, twenty-nine", and thus it is an aban number.