100120199999949 has 6 divisors (see below), whose sum is σ = 144618066666606. Its totient is φ = 66746799999960.

The previous prime is 100120199999927. The next prime is 100120199999971. The reversal of 100120199999949 is 949999991021001.

100120199999949 is a `hidden beast` number, since 100 + 120 + 199 + 99 + 99 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (100120199999927) and next prime (100120199999971).

It can be written as a sum of positive squares in only one way, i.e., 100034302941225 + 85897058724 = 10001715^2 + 293082^2 .

It is not a de Polignac number, because 100120199999949 - 2⁹ = 100120199999437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120199999849) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5562233333322 + ... + 5562233333339.

It is an arithmetic number, because the mean of its divisors is an integer number (24103011111101).

Almost surely, 2^{100120199999949} is an apocalyptic number.

It is an amenable number.

100120199999949 is a deficient number, since it is larger than the sum of its proper divisors (44497866666657).

100120199999949 is a wasteful number, since it uses less digits than its factorization.

100120199999949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11124466666667 (or 11124466666664 counting only the distinct ones).

The product of its (nonzero) digits is 38263752, while the sum is 72.

The spelling of 100120199999949 in words is "one hundred trillion, one hundred twenty billion, one hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred forty-nine".