102111200221221 has 6 divisors (see below), whose sum is σ = 147493955875110. Its totient is φ = 68074133480808.

The previous prime is 102111200221201. The next prime is 102111200221249. The reversal of 102111200221221 is 122122002111201.

102111200221221 is a `hidden beast` number, since 1 + 0 + 21 + 1 + 1 + 200 + 221 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101926288181025 + 184912040196 = 10095855^2 + 430014^2 .

It is not a de Polignac number, because 102111200221221 - 2¹¹ = 102111200219173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102111200221194 and 102111200221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111200221201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5672844456726 + ... + 5672844456743.

It is an arithmetic number, because the mean of its divisors is an integer number (24582325979185).

Almost surely, 2^{102111200221221} is an apocalyptic number.

It is an amenable number.

102111200221221 is a deficient number, since it is larger than the sum of its proper divisors (45382755653889).

102111200221221 is a wasteful number, since it uses less digits than its factorization.

102111200221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11345688913475 (or 11345688913472 counting only the distinct ones).

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

Adding to 102111200221221 its reverse (122122002111201), we get a palindrome (224233202332422).

The spelling of 102111200221221 in words is "one hundred two trillion, one hundred eleven billion, two hundred million, two hundred twenty-one thousand, two hundred twenty-one".