212000102010001 has 8 divisors (see below), whose sum is σ = 217576747036584. Its totient is φ = 206481851172480.

The previous prime is 212000102009947. The next prime is 212000102010007. The reversal of 212000102010001 is 100010201000212.

It can be written as a sum of positive squares in 4 ways, for example, as 29241607817601 + 182758494192400 = 5407551^2 + 13518820^2 .

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 212000102010001 - 2¹⁵ = 212000101977233 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 212000102010001.

It is not an unprimeable number, because it can be changed into a prime (212000102010007) 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, 14598539910 + ... + 14598554431.

It is an arithmetic number, because the mean of its divisors is an integer number (27197093379573).

Almost surely, 2^{212000102010001} is an apocalyptic number.

It is an amenable number.

212000102010001 is a deficient number, since it is larger than the sum of its proper divisors (5576645026583).

212000102010001 is a wasteful number, since it uses less digits than its factorization.

212000102010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29197094531.

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

Adding to 212000102010001 its reverse (100010201000212), we get a palindrome (312010303010213).

The spelling of 212000102010001 in words is "two hundred twelve trillion, one hundred two million, ten thousand, one".