212111122202001 has 64 divisors (see below), whose sum is σ = 345501636986880. Its totient is φ = 127541725272000.

The previous prime is 212111122201961. The next prime is 212111122202137. The reversal of 212111122202001 is 100202221111212.

212111122202001 is a `hidden beast` number, since 21 + 211 + 1 + 12 + 220 + 200 + 1 = 666.

It is not a de Polignac number, because 212111122202001 - 2²² = 212111118007697 is a prime.

It is a super-3 number, since 3×212111122202001³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (212111122202801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170219851 + ... + 171461423.

It is an arithmetic number, because the mean of its divisors is an integer number (5398463077920).

Almost surely, 2^{212111122202001} is an apocalyptic number.

It is an amenable number.

212111122202001 is a deficient number, since it is larger than the sum of its proper divisors (133390514784879).

212111122202001 is a wasteful number, since it uses less digits than its factorization.

212111122202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246115 (or 1246109 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212111122202001 its reverse (100202221111212), we get a palindrome (312313343313213).

The spelling of 212111122202001 in words is "two hundred twelve trillion, one hundred eleven billion, one hundred twenty-two million, two hundred two thousand, one".