102120022012221 has 12 divisors (see below), whose sum is σ = 147929353763100. Its totient is φ = 67884942997440.

The previous prime is 102120022012189. The next prime is 102120022012237. The reversal of 102120022012221 is 122210220021201.

It is a happy number.

102120022012221 is a `hidden beast` number, since 1 + 0 + 21 + 200 + 220 + 1 + 2 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31656253179321 + 70463768832900 = 5626389^2 + 8394270^2 .

It is not a de Polignac number, because 102120022012221 - 2⁵ = 102120022012189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102120022012194 and 102120022012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120022012121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16255969800 + ... + 16255976081.

It is an arithmetic number, because the mean of its divisors is an integer number (12327446146925).

Almost surely, 2^{102120022012221} is an apocalyptic number.

It is an amenable number.

102120022012221 is a deficient number, since it is larger than the sum of its proper divisors (45809331750879).

102120022012221 is a wasteful number, since it uses less digits than its factorization.

102120022012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32511946236 (or 32511946233 counting only the distinct ones).

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

Adding to 102120022012221 its reverse (122210220021201), we get a palindrome (224330242033422).

The spelling of 102120022012221 in words is "one hundred two trillion, one hundred twenty billion, twenty-two million, twelve thousand, two hundred twenty-one".