212120011000001 has 8 divisors (see below), whose sum is σ = 230532686621160. Its totient is φ = 194006728478592.

The previous prime is 212120010999983. The next prime is 212120011000019. The reversal of 212120011000001 is 100000110021212.

It is an interprime number because it is at equal distance from previous prime (212120010999983) and next prime (212120011000019).

It can be written as a sum of positive squares in 4 ways, for example, as 362915880625 + 211757095119376 = 602425^2 + 14551876^2 .

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 212120011000001 - 2⁶ = 212120010999937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212120011000061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74848273460 + ... + 74848276293.

It is an arithmetic number, because the mean of its divisors is an integer number (28816585827645).

Almost surely, 2^{212120011000001} is an apocalyptic number.

It is an amenable number.

212120011000001 is a deficient number, since it is larger than the sum of its proper divisors (18412675621159).

212120011000001 is a wasteful number, since it uses less digits than its factorization.

212120011000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149696549875.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212120011000001 its reverse (100000110021212), we get a palindrome (312120121021213).

The spelling of 212120011000001 in words is "two hundred twelve trillion, one hundred twenty billion, eleven million, one", and thus it is an aban number.