10012121212001 has 4 divisors (see below), whose sum is σ = 10046292274452. Its totient is φ = 9977950149552.

The previous prime is 10012121211971. The next prime is 10012121212111. The reversal of 10012121212001 is 10021212121001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9032910030400 + 979211181601 = 3005480^2 + 989551^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012121212001 - 2²⁶ = 10012054103137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10012121212501) 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 3 ways as a sum of consecutive naturals, for example, 17085530786 + ... + 17085531371.

It is an arithmetic number, because the mean of its divisors is an integer number (2511573068613).

Almost surely, 2^{10012121212001} is an apocalyptic number.

It is an amenable number.

10012121212001 is a deficient number, since it is larger than the sum of its proper divisors (34171062451).

10012121212001 is an equidigital number, since it uses as much as digits as its factorization.

10012121212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34171062450.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10012121212001 its reverse (10021212121001), we get a palindrome (20033333333002).

The spelling of 10012121212001 in words is "ten trillion, twelve billion, one hundred twenty-one million, two hundred twelve thousand, one".