221021211022101 has 48 divisors (see below), whose sum is σ = 369012390215040. Its totient is φ = 124864273353600.

The previous prime is 221021211022057. The next prime is 221021211022187. The reversal of 221021211022101 is 101220112120122.

221021211022101 is a `hidden beast` number, since 2 + 210 + 21 + 211 + 0 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 221021211022101 - 2¹⁰ = 221021211021077 is a prime.

It is a super-2 number, since 2×221021211022101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221021211022501) 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, 21082606 + ... + 29774463.

It is an arithmetic number, because the mean of its divisors is an integer number (7687758129480).

Almost surely, 2^{221021211022101} is an apocalyptic number.

221021211022101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221021211022101 is a deficient number, since it is larger than the sum of its proper divisors (147991179192939).

221021211022101 is a wasteful number, since it uses less digits than its factorization.

221021211022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50857866 (or 50857863 counting only the distinct ones).

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

Adding to 221021211022101 its reverse (101220112120122), we get a palindrome (322241323142223).

The spelling of 221021211022101 in words is "two hundred twenty-one trillion, twenty-one billion, two hundred eleven million, twenty-two thousand, one hundred one".