102212121002211 has 32 divisors (see below), whose sum is σ = 165260338871040. Its totient is φ = 61920852926400.

The previous prime is 102212121002209. The next prime is 102212121002219. The reversal of 102212121002211 is 112200121212201.

102212121002211 is a `hidden beast` number, since 1 + 0 + 221 + 21 + 210 + 0 + 2 + 211 = 666.

It is not a de Polignac number, because 102212121002211 - 2¹ = 102212121002209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102212121002219) 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, 71196625 + ... + 72618066.

It is an arithmetic number, because the mean of its divisors is an integer number (5164385589720).

Almost surely, 2^{102212121002211} is an apocalyptic number.

102212121002211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102212121002211 is a deficient number, since it is larger than the sum of its proper divisors (63048217868829).

102212121002211 is a wasteful number, since it uses less digits than its factorization.

102212121002211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143817104 (or 143817098 counting only the distinct ones).

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

Adding to 102212121002211 its reverse (112200121212201), we get a palindrome (214412242214412).

The spelling of 102212121002211 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-one million, two thousand, two hundred eleven".