1000212120001 has 8 divisors (see below), whose sum is σ = 1028388388608. Its totient is φ = 972215892000.

The previous prime is 1000212119993. The next prime is 1000212120049.

1000212120001 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 1000212120001 - 2³ = 1000212119993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000212120001.

It is not an unprimeable number, because it can be changed into a prime (1000212120301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44998885 + ... + 45021106.

It is an arithmetic number, because the mean of its divisors is an integer number (128548548576).

Almost surely, 2^{1000212120001} is an apocalyptic number.

It is an amenable number.

1000212120001 is a deficient number, since it is larger than the sum of its proper divisors (28176268607).

1000212120001 is an equidigital number, since it uses as much as digits as its factorization.

1000212120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90020303.

The product of its (nonzero) digits is 8, while the sum is 10.

The spelling of 1000212120001 in words is "one trillion, two hundred twelve million, one hundred twenty thousand, one".