102111002012221 has 2 divisors, whose sum is σ = 102111002012222. Its totient is φ = 102111002012220.

The previous prime is 102111002012189. The next prime is 102111002012233. The reversal of 102111002012221 is 122210200111201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70829241152121 + 31281760860100 = 8416011^2 + 5593010^2 .

It is a cyclic number.

It is not a de Polignac number, because 102111002012221 - 2⁵ = 102111002012189 is a prime.

It is a super-2 number, since 2×102111002012221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102111002012195 and 102111002012204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102111002013221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055501006110 + 51055501006111.

It is an arithmetic number, because the mean of its divisors is an integer number (51055501006111).

Almost surely, 2^{102111002012221} is an apocalyptic number.

It is an amenable number.

102111002012221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111002012221 is an equidigital number, since it uses as much as digits as its factorization.

102111002012221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102111002012221 its reverse (122210200111201), we get a palindrome (224321202123422).

The spelling of 102111002012221 in words is "one hundred two trillion, one hundred eleven billion, two million, twelve thousand, two hundred twenty-one".