101211202110221 has 32 divisors (see below), whose sum is σ = 116521941043200. Its totient is φ = 86115553444800.

The previous prime is 101211202110203. The next prime is 101211202110257. The reversal of 101211202110221 is 122011202112101.

It is a cyclic number.

It is not a de Polignac number, because 101211202110221 - 2⁴² = 96813155599117 is a prime.

It is a super-3 number, since 3×101211202110221³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101211202110221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211202110281) 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 31 ways as a sum of consecutive naturals, for example, 7841568050 + ... + 7841580956.

It is an arithmetic number, because the mean of its divisors is an integer number (3641310657600).

Almost surely, 2^{101211202110221} is an apocalyptic number.

It is an amenable number.

101211202110221 is a deficient number, since it is larger than the sum of its proper divisors (15310738932979).

101211202110221 is a wasteful number, since it uses less digits than its factorization.

101211202110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25785.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101211202110221 its reverse (122011202112101), we get a palindrome (223222404222322).

The spelling of 101211202110221 in words is "one hundred one trillion, two hundred eleven billion, two hundred two million, one hundred ten thousand, two hundred twenty-one".