212001101022112 has 24 divisors (see below), whose sum is σ = 418290465625956. Its totient is φ = 105768601815552.

The previous prime is 212001101022103. The next prime is 212001101022127. The reversal of 212001101022112 is 211220101100212.

It can be written as a sum of positive squares in 2 ways, for example, as 211863278914576 + 137822107536 = 14555524^2 + 371244^2 .

It is a super-2 number, since 2×212001101022112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7248381883 + ... + 7248411130.

Almost surely, 2^{212001101022112} is an apocalyptic number.

It is an amenable number.

212001101022112 is a deficient number, since it is larger than the sum of its proper divisors (206289364603844).

212001101022112 is a wasteful number, since it uses less digits than its factorization.

212001101022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14496793480 (or 14496793472 counting only the distinct ones).

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

Adding to 212001101022112 its reverse (211220101100212), we get a palindrome (423221202122324).

It can be divided in two parts, 21200110 and 1022112, that added together give a palindrome (22222222).

The spelling of 212001101022112 in words is "two hundred twelve trillion, one billion, one hundred one million, twenty-two thousand, one hundred twelve".