100121121121199 has 8 divisors (see below), whose sum is σ = 100322766102000. Its totient is φ = 99919480147200.

The previous prime is 100121121121183. The next prime is 100121121121207. The reversal of 100121121121199 is 991121121121001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100121121121199 - 2⁴ = 100121121121183 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121121126199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51826169 + ... + 53723309.

It is an arithmetic number, because the mean of its divisors is an integer number (12540345762750).

Almost surely, 2^{100121121121199} is an apocalyptic number.

100121121121199 is a deficient number, since it is larger than the sum of its proper divisors (201644980801).

100121121121199 is a wasteful number, since it uses less digits than its factorization.

100121121121199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003401.

The product of its (nonzero) digits is 648, while the sum is 32.

The spelling of 100121121121199 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred ninety-nine".