20121012212001 has 8 divisors (see below), whose sum is σ = 26828987332224. Its totient is φ = 13413522616560.

The previous prime is 20121012211973. The next prime is 20121012212029. The reversal of 20121012212001 is 10021221012102.

It is an interprime number because it is at equal distance from previous prime (20121012211973) and next prime (20121012212029).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 20121012212001 - 2⁷ = 20121012211873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20121012212701) 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, 121284486 + ... + 121450271.

It is an arithmetic number, because the mean of its divisors is an integer number (3353623416528).

Almost surely, 2^{20121012212001} is an apocalyptic number.

It is an amenable number.

20121012212001 is a deficient number, since it is larger than the sum of its proper divisors (6707975120223).

20121012212001 is a wasteful number, since it uses less digits than its factorization.

20121012212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242762391.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20121012212001 its reverse (10021221012102), we get a palindrome (30142233224103).

The spelling of 20121012212001 in words is "twenty trillion, one hundred twenty-one billion, twelve million, two hundred twelve thousand, one".