101111210122221 has 24 divisors (see below), whose sum is σ = 157316662770176. Its totient is φ = 62209403010720.

The previous prime is 101111210122151. The next prime is 101111210122271. The reversal of 101111210122221 is 122221012111101.

It is a happy number.

101111210122221 is a `hidden beast` number, since 1 + 0 + 1 + 111 + 210 + 122 + 221 = 666.

It is not a de Polignac number, because 101111210122221 - 2¹⁷ = 101111209991149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111210122194 and 101111210122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111210122271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88877785 + ... + 90008238.

Almost surely, 2^{101111210122221} is an apocalyptic number.

It is an amenable number.

101111210122221 is a deficient number, since it is larger than the sum of its proper divisors (56205452647955).

101111210122221 is a wasteful number, since it uses less digits than its factorization.

101111210122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178890873 (or 178890870 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101111210122221 its reverse (122221012111101), we get a palindrome (223332222233322).

The spelling of 101111210122221 in words is "one hundred one trillion, one hundred eleven billion, two hundred ten million, one hundred twenty-two thousand, two hundred twenty-one".