102211121103021 has 48 divisors (see below), whose sum is σ = 181102057928064. Its totient is φ = 54217663828992.

The previous prime is 102211121103011. The next prime is 102211121103029. The reversal of 102211121103021 is 120301121112201.

It is a happy number.

102211121103021 is a `hidden beast` number, since 10 + 221 + 1 + 121 + 10 + 302 + 1 = 666.

It is not a de Polignac number, because 102211121103021 - 2¹⁸ = 102211120840877 is a prime.

It is a super-2 number, since 2×102211121103021² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102211121102985 and 102211121103003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211121103029) 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 47 ways as a sum of consecutive naturals, for example, 653587711 + ... + 653744076.

It is an arithmetic number, because the mean of its divisors is an integer number (3772959540168).

Almost surely, 2^{102211121103021} is an apocalyptic number.

It is an amenable number.

102211121103021 is a deficient number, since it is larger than the sum of its proper divisors (78890936825043).

102211121103021 is a wasteful number, since it uses less digits than its factorization.

102211121103021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307331890 (or 1307331887 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102211121103021 its reverse (120301121112201), we get a palindrome (222512242215222).

The spelling of 102211121103021 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty-one million, one hundred three thousand, twenty-one".