1001121121002 has 64 divisors (see below), whose sum is σ = 2154973766400. Its totient is φ = 308940002304.

The previous prime is 1001121120983. The next prime is 1001121121031. The reversal of 1001121121002 is 2001211211001.

It is a super-2 number, since 2×1001121121002² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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, 1245628 + ... + 1885160.

It is an arithmetic number, because the mean of its divisors is an integer number (33671465100).

Almost surely, 2^{1001121121002} is an apocalyptic number.

1001121121002 is an abundant number, since it is smaller than the sum of its proper divisors (1153852645398).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001121121002 is a wasteful number, since it uses less digits than its factorization.

1001121121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639807.

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

Adding to 1001121121002 its reverse (2001211211001), we get a palindrome (3002332332003).

The spelling of 1001121121002 in words is "one trillion, one billion, one hundred twenty-one million, one hundred twenty-one thousand, two".