491201001121 has 8 divisors (see below), whose sum is σ = 504642276200. Its totient is φ = 477768440448.

The previous prime is 491201001119. The next prime is 491201001167. The reversal of 491201001121 is 121100102194.

It can be written as a sum of positive squares in 4 ways, for example, as 41616000000 + 449585001121 = 204000^2 + 670511^2 .

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 491201001121 - 2¹ = 491201001119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 491201001092 and 491201001101.

It is not an unprimeable number, because it can be changed into a prime (491201001191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2064246 + ... + 2289871.

It is an arithmetic number, because the mean of its divisors is an integer number (63080284525).

Almost surely, 2^491201001121 is an apocalyptic number.

It is an amenable number.

491201001121 is a deficient number, since it is larger than the sum of its proper divisors (13441275079).

491201001121 is a wasteful number, since it uses less digits than its factorization.

491201001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4357203.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 491201001121 in words is "four hundred ninety-one billion, two hundred one million, one thousand, one hundred twenty-one".