102122210011221 has 24 divisors (see below), whose sum is σ = 151508183829600. Its totient is φ = 66236373707616.

The previous prime is 102122210011219. The next prime is 102122210011231. The reversal of 102122210011221 is 122110012221201.

102122210011221 is a `hidden beast` number, since 1 + 0 + 212 + 221 + 0 + 0 + 11 + 221 = 666.

It is not a de Polignac number, because 102122210011221 - 2¹ = 102122210011219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102122210011194 and 102122210011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122210011231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7344015 + ... + 16067948.

It is an arithmetic number, because the mean of its divisors is an integer number (6312840992900).

Almost surely, 2^{102122210011221} is an apocalyptic number.

It is an amenable number.

102122210011221 is a deficient number, since it is larger than the sum of its proper divisors (49385973818379).

102122210011221 is a wasteful number, since it uses less digits than its factorization.

102122210011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23425105 (or 23425102 counting only the distinct ones).

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

Adding to 102122210011221 its reverse (122110012221201), we get a palindrome (224232222232422).

The spelling of 102122210011221 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred ten million, eleven thousand, two hundred twenty-one".