212112002101 has 8 divisors (see below), whose sum is σ = 220694573880. Its totient is φ = 203613988032.

The previous prime is 212112002099. The next prime is 212112002107. The reversal of 212112002101 is 101200211212.

It can be written as a sum of positive squares in 4 ways, for example, as 66742139025 + 145369863076 = 258345^2 + 381274^2 .

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 212112002101 - 2¹ = 212112002099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112002107) 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, 21134310 + ... + 21144343.

It is an arithmetic number, because the mean of its divisors is an integer number (27586821735).

Almost surely, 2^212112002101 is an apocalyptic number.

It is an amenable number.

212112002101 is a deficient number, since it is larger than the sum of its proper divisors (8582571779).

212112002101 is a wasteful number, since it uses less digits than its factorization.

212112002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42278855.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212112002101 its reverse (101200211212), we get a palindrome (313312213313).

The spelling of 212112002101 in words is "two hundred twelve billion, one hundred twelve million, two thousand, one hundred one".