121111002001001 has 8 divisors (see below), whose sum is σ = 121812697017000. Its totient is φ = 120411226808320.

The previous prime is 121111002000997. The next prime is 121111002001007. The reversal of 121111002001001 is 100100200111121.

It can be written as a sum of positive squares in 4 ways, for example, as 75785469085225 + 45325532915776 = 8705485^2 + 6732424^2 .

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 121111002001001 - 2² = 121111002000997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121111002001007) 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, 479829296 + ... + 480081633.

It is an arithmetic number, because the mean of its divisors is an integer number (15226587127125).

Almost surely, 2^{121111002001001} is an apocalyptic number.

It is an amenable number.

121111002001001 is a deficient number, since it is larger than the sum of its proper divisors (701695015999).

121111002001001 is an equidigital number, since it uses as much as digits as its factorization.

121111002001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959911659.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 121111002001001 its reverse (100100200111121), we get a palindrome (221211202112122).

The spelling of 121111002001001 in words is "one hundred twenty-one trillion, one hundred eleven billion, two million, one thousand, one".