121100101009 has 16 divisors (see below), whose sum is σ = 129139084800. Its totient is φ = 113319176256.

The previous prime is 121100100997. The next prime is 121100101019. The reversal of 121100101009 is 900101001121.

It is a cyclic number.

It is not a de Polignac number, because 121100101009 - 2⁹ = 121100100497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121100100983 and 121100101001.

It is not an unprimeable number, because it can be changed into a prime (121100101019) 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, 107674 + ... + 503779.

It is an arithmetic number, because the mean of its divisors is an integer number (8071192800).

Almost surely, 2^121100101009 is an apocalyptic number.

It is an amenable number.

121100101009 is a deficient number, since it is larger than the sum of its proper divisors (8038983791).

121100101009 is a wasteful number, since it uses less digits than its factorization.

121100101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611664.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 121100101009 in words is "one hundred twenty-one billion, one hundred million, one hundred one thousand, nine".