1002122212001 has 8 divisors (see below), whose sum is σ = 1002673396224. Its totient is φ = 1001571120160.

The previous prime is 1002122211997. The next prime is 1002122212051.

1002122212001 is nontrivially palindromic in base 10.

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 1002122212001 - 2² = 1002122211997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1002122212051) 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 7 ways as a sum of consecutive naturals, for example, 36518756 + ... + 36546186.

It is an arithmetic number, because the mean of its divisors is an integer number (125334174528).

Almost surely, 2^{1002122212001} is an apocalyptic number.

It is an amenable number.

1002122212001 is a deficient number, since it is larger than the sum of its proper divisors (551184223).

1002122212001 is a wasteful number, since it uses less digits than its factorization.

1002122212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46191.

The product of its (nonzero) digits is 32, while the sum is 14.

The spelling of 1002122212001 in words is "one trillion, two billion, one hundred twenty-two million, two hundred twelve thousand, one".