100121102202109 has 2 divisors, whose sum is σ = 100121102202110. Its totient is φ = 100121102202108.

The previous prime is 100121102202103. The next prime is 100121102202157. The reversal of 100121102202109 is 901202201121001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60909986115225 + 39211116086884 = 7804485^2 + 6261878^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121102202109 - 2²¹ = 100121100104957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100121102202109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121102202103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060551101054 + 50060551101055.

It is an arithmetic number, because the mean of its divisors is an integer number (50060551101055).

Almost surely, 2^{100121102202109} is an apocalyptic number.

It is an amenable number.

100121102202109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121102202109 is an equidigital number, since it uses as much as digits as its factorization.

100121102202109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 100121102202109 in words is "one hundred trillion, one hundred twenty-one billion, one hundred two million, two hundred two thousand, one hundred nine".