1001200121121 has 32 divisors (see below), whose sum is σ = 1408232770560. Its totient is φ = 631911478464.

The previous prime is 1001200121113. The next prime is 1001200121137. The reversal of 1001200121121 is 1211210021001.

It is not a de Polignac number, because 1001200121121 - 2³ = 1001200121113 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1001200121097 and 1001200121106.

It is not an unprimeable number, because it can be changed into a prime (1001200121111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856510 + ... + 1654088.

It is an arithmetic number, because the mean of its divisors is an integer number (44007274080).

Almost surely, 2^{1001200121121} is an apocalyptic number.

It is an amenable number.

1001200121121 is a deficient number, since it is larger than the sum of its proper divisors (407032649439).

1001200121121 is a wasteful number, since it uses less digits than its factorization.

1001200121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797925.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001200121121 its reverse (1211210021001), we get a palindrome (2212410142122).

The spelling of 1001200121121 in words is "one trillion, one billion, two hundred million, one hundred twenty-one thousand, one hundred twenty-one".