212102010112201 has 48 divisors (see below), whose sum is σ = 235830636397440. Its totient is φ = 190598594912000.

The previous prime is 212102010112189. The next prime is 212102010112211. The reversal of 212102010112201 is 102211010201212.

It is a de Polignac number, because none of the positive numbers 2^k-212102010112201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212102010112211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40224160101 + ... + 40224165373.

It is an arithmetic number, because the mean of its divisors is an integer number (4913138258280).

Almost surely, 2^{212102010112201} is an apocalyptic number.

It is an amenable number.

212102010112201 is a deficient number, since it is larger than the sum of its proper divisors (23728626285239).

212102010112201 is a wasteful number, since it uses less digits than its factorization.

212102010112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10158 (or 10147 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212102010112201 its reverse (102211010201212), we get a palindrome (314313020313413).

It can be divided in two parts, 2121020 and 10112201, that added together give a palindrome (12233221).

The spelling of 212102010112201 in words is "two hundred twelve trillion, one hundred two billion, ten million, one hundred twelve thousand, two hundred one".