102212011122221 has 32 divisors (see below), whose sum is σ = 138594476756736. Its totient is φ = 72791216640000.

The previous prime is 102212011122197. The next prime is 102212011122241. The reversal of 102212011122221 is 122221110212201.

It is a cyclic number.

It is not a de Polignac number, because 102212011122221 - 2¹⁴ = 102212011105837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102212011122193 and 102212011122202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212011122241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505393460 + ... + 505595661.

It is an arithmetic number, because the mean of its divisors is an integer number (4331077398648).

Almost surely, 2^{102212011122221} is an apocalyptic number.

102212011122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102212011122221 is a deficient number, since it is larger than the sum of its proper divisors (36382465634515).

102212011122221 is a wasteful number, since it uses less digits than its factorization.

102212011122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010989253.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102212011122221 its reverse (122221110212201), we get a palindrome (224433121334422).

The spelling of 102212011122221 in words is "one hundred two trillion, two hundred twelve billion, eleven million, one hundred twenty-two thousand, two hundred twenty-one".