121001121001 has 8 divisors (see below), whose sum is σ = 122212504008. Its totient is φ = 119790000000.

The previous prime is 121001120971. The next prime is 121001121049. The reversal of 121001121001 is 100121100121.

It can be written as a sum of positive squares in 4 ways, for example, as 86332542976 + 34668578025 = 293824^2 + 186195^2 .

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 121001121001 - 2¹³ = 121001112809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121001121071) 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, 939501 + ... + 1060501.

It is an arithmetic number, because the mean of its divisors is an integer number (15276563001).

Almost surely, 2^121001121001 is an apocalyptic number.

It is an amenable number.

121001121001 is a deficient number, since it is larger than the sum of its proper divisors (1211383007).

121001121001 is a wasteful number, since it uses less digits than its factorization.

121001121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131003.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 121001121001 its reverse (100121100121), we get a palindrome (221122221122).

The spelling of 121001121001 in words is "one hundred twenty-one billion, one million, one hundred twenty-one thousand, one".