102211112221101 has 48 divisors (see below), whose sum is σ = 160316832067392. Its totient is φ = 62376896275200.

The previous prime is 102211112221093. The next prime is 102211112221129. The reversal of 102211112221101 is 101122211112201.

It is a happy number.

102211112221101 is a `hidden beast` number, since 1 + 0 + 221 + 111 + 222 + 110 + 1 = 666.

It is not a de Polignac number, because 102211112221101 - 2³ = 102211112221093 is a prime.

It is a super-2 number, since 2×102211112221101² (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 (102211112220101) 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, 20481561 + ... + 24978321.

It is an arithmetic number, because the mean of its divisors is an integer number (3339934001404).

Almost surely, 2^{102211112221101} is an apocalyptic number.

It is an amenable number.

102211112221101 is a deficient number, since it is larger than the sum of its proper divisors (58105719846291).

102211112221101 is a wasteful number, since it uses less digits than its factorization.

102211112221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4498394 (or 4498391 counting only the distinct ones).

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

Adding to 102211112221101 its reverse (101122211112201), we get a palindrome (203333323333302).

The spelling of 102211112221101 in words is "one hundred two trillion, two hundred eleven billion, one hundred twelve million, two hundred twenty-one thousand, one hundred one".