102100212011221 has 2 divisors, whose sum is σ = 102100212011222. Its totient is φ = 102100212011220.

The previous prime is 102100212011201. The next prime is 102100212011293. The reversal of 102100212011221 is 122110212001201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88198581788100 + 13901630223121 = 9391410^2 + 3728489^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100212011221 - 2¹³ = 102100212003029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102100212011195 and 102100212011204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100212011201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050106005610 + 51050106005611.

It is an arithmetic number, because the mean of its divisors is an integer number (51050106005611).

Almost surely, 2^{102100212011221} is an apocalyptic number.

It is an amenable number.

102100212011221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100212011221 is an equidigital number, since it uses as much as digits as its factorization.

102100212011221 is an odious number, because the sum of its binary digits is odd.

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

Adding to 102100212011221 its reverse (122110212001201), we get a palindrome (224210424012422).

The spelling of 102100212011221 in words is "one hundred two trillion, one hundred billion, two hundred twelve million, eleven thousand, two hundred twenty-one".