100120211121409 has 2 divisors, whose sum is σ = 100120211121410. Its totient is φ = 100120211121408.

The previous prime is 100120211121383. The next prime is 100120211121431. The reversal of 100120211121409 is 904121112021001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89302216500225 + 10817994621184 = 9449985^2 + 3289072^2 .

It is a cyclic number.

It is not a de Polignac number, because 100120211121409 - 2¹⁷ = 100120210990337 is a prime.

It is not a weakly prime, because it can be changed into another prime (100120211121479) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060105560704 + 50060105560705.

It is an arithmetic number, because the mean of its divisors is an integer number (50060105560705).

Almost surely, 2^{100120211121409} is an apocalyptic number.

It is an amenable number.

100120211121409 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120211121409 is an equidigital number, since it uses as much as digits as its factorization.

100120211121409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 100120211121409 in words is "one hundred trillion, one hundred twenty billion, two hundred eleven million, one hundred twenty-one thousand, four hundred nine".