100121131333199 has 16 divisors (see below), whose sum is σ = 102196252658304. Its totient is φ = 98052917133600.

The previous prime is 100121131333147. The next prime is 100121131333229. The reversal of 100121131333199 is 991333131121001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100121131333199 - 2²⁴ = 100121114555983 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 (100121131333109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745042484 + ... + 745176854.

It is an arithmetic number, because the mean of its divisors is an integer number (6387265791144).

Almost surely, 2^{100121131333199} is an apocalyptic number.

100121131333199 is a deficient number, since it is larger than the sum of its proper divisors (2075121325105).

100121131333199 is a wasteful number, since it uses less digits than its factorization.

100121131333199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159958.

The product of its (nonzero) digits is 13122, while the sum is 38.

The spelling of 100121131333199 in words is "one hundred trillion, one hundred twenty-one billion, one hundred thirty-one million, three hundred thirty-three thousand, one hundred ninety-nine".