221201012212101 has 96 divisors (see below), whose sum is σ = 349699959398400. Its totient is φ = 134220693237120.

The previous prime is 221201012212067. The next prime is 221201012212129. The reversal of 221201012212101 is 101212210102122.

221201012212101 is a `hidden beast` number, since 221 + 2 + 0 + 10 + 1 + 221 + 210 + 1 = 666.

It is not a de Polignac number, because 221201012212101 - 2⁹ = 221201012211589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221201012212001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 420970800 + ... + 421495926.

It is an arithmetic number, because the mean of its divisors is an integer number (3642707910400).

Almost surely, 2^{221201012212101} is an apocalyptic number.

It is an amenable number.

221201012212101 is a deficient number, since it is larger than the sum of its proper divisors (128498947186299).

221201012212101 is a wasteful number, since it uses less digits than its factorization.

221201012212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525759 (or 525756 counting only the distinct ones).

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

Adding to 221201012212101 its reverse (101212210102122), we get a palindrome (322413222314223).

The spelling of 221201012212101 in words is "two hundred twenty-one trillion, two hundred one billion, twelve million, two hundred twelve thousand, one hundred one".