1001121202001 has 16 divisors (see below), whose sum is σ = 1057190534400. Its totient is φ = 945393120000.

The previous prime is 1001121201877. The next prime is 1001121202019. The reversal of 1001121202001 is 1002021211001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001121202001 is a prime.

It is a super-2 number, since 2×1001121202001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001121202051) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10841576 + ... + 10933526.

It is an arithmetic number, because the mean of its divisors is an integer number (66074408400).

Almost surely, 2^{1001121202001} is an apocalyptic number.

It is an amenable number.

1001121202001 is a deficient number, since it is larger than the sum of its proper divisors (56069332399).

1001121202001 is a wasteful number, since it uses less digits than its factorization.

1001121202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93800.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001121202001 its reverse (1002021211001), we get a palindrome (2003142413002).

The spelling of 1001121202001 in words is "one trillion, one billion, one hundred twenty-one million, two hundred two thousand, one".