100101120199980 has 96 divisors (see below), whose sum is σ = 284225344320960. Its totient is φ = 26320229744640.

The previous prime is 100101120199967. The next prime is 100101120199991. The reversal of 100101120199980 is 89991021101001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30403761 + ... + 33534920.

It is an arithmetic number, because the mean of its divisors is an integer number (2960680670010).

Almost surely, 2^{100101120199980} is an apocalyptic number.

100101120199980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101120199980 is an abundant number, since it is smaller than the sum of its proper divisors (184124224120980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100101120199980 is a wasteful number, since it uses less digits than its factorization.

100101120199980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63939059 (or 63939057 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 42.

The spelling of 100101120199980 in words is "one hundred trillion, one hundred one billion, one hundred twenty million, one hundred ninety-nine thousand, nine hundred eighty".