100121000029 has 2 divisors, whose sum is σ = 100121000030. Its totient is φ = 100121000028.

The previous prime is 100120999991. The next prime is 100121000041. The reversal of 100121000029 is 920000121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93023780004 + 7097220025 = 304998^2 + 84245^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121000029 - 2³⁵ = 65761261661 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100120999976 and 100121000021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121000059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060500014 + 50060500015.

It is an arithmetic number, because the mean of its divisors is an integer number (50060500015).

Almost surely, 2^100121000029 is an apocalyptic number.

It is an amenable number.

100121000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121000029 is an equidigital number, since it uses as much as digits as its factorization.

100121000029 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 16.

The spelling of 100121000029 in words is "one hundred billion, one hundred twenty-one million, twenty-nine", and thus it is an aban number.