102012212200221 has 6 divisors (see below), whose sum is σ = 147350973178110. Its totient is φ = 68008141466808.

The previous prime is 102012212200193. The next prime is 102012212200267. The reversal of 102012212200221 is 122002212210201.

It is a happy number.

102012212200221 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 221 + 220 + 0 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91963400960025 + 10048811240196 = 9589755^2 + 3169986^2 .

It is not a de Polignac number, because 102012212200221 - 2¹⁰ = 102012212199197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102012212200194 and 102012212200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012212200421) 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, 5667345122226 + ... + 5667345122243.

It is an arithmetic number, because the mean of its divisors is an integer number (24558495529685).

Almost surely, 2^{102012212200221} is an apocalyptic number.

It is an amenable number.

102012212200221 is a deficient number, since it is larger than the sum of its proper divisors (45338760977889).

102012212200221 is a wasteful number, since it uses less digits than its factorization.

102012212200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11334690244475 (or 11334690244472 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102012212200221 its reverse (122002212210201), we get a palindrome (224014424410422).

The spelling of 102012212200221 in words is "one hundred two trillion, twelve billion, two hundred twelve million, two hundred thousand, two hundred twenty-one".