212000102112101 has 8 divisors (see below), whose sum is σ = 217031977593624. Its totient is φ = 207025733779200.

The previous prime is 212000102112089. The next prime is 212000102112109. The reversal of 212000102112101 is 101211201000212.

It can be written as a sum of positive squares in 4 ways, for example, as 108155320050625 + 103844782061476 = 10399775^2 + 10190426^2 .

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 212000102112101 - 2⁴² = 207602055600997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000102112109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14376779696 + ... + 14376794441.

It is an arithmetic number, because the mean of its divisors is an integer number (27128997199203).

Almost surely, 2^{212000102112101} is an apocalyptic number.

It is an amenable number.

212000102112101 is a deficient number, since it is larger than the sum of its proper divisors (5031875481523).

212000102112101 is a wasteful number, since it uses less digits than its factorization.

212000102112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28753574311.

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

Adding to 212000102112101 its reverse (101211201000212), we get a palindrome (313211303112313).

The spelling of 212000102112101 in words is "two hundred twelve trillion, one hundred two million, one hundred twelve thousand, one hundred one".