221221202101129 has 2 divisors, whose sum is σ = 221221202101130. Its totient is φ = 221221202101128.

The previous prime is 221221202101093. The next prime is 221221202101169. The reversal of 221221202101129 is 921101202122122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219770988855625 + 1450213245504 = 14824675^2 + 1204248^2 .

It is a cyclic number.

It is not a de Polignac number, because 221221202101129 - 2¹¹ = 221221202099081 is a prime.

It is a super-3 number, since 3×221221202101129³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221221202101097 and 221221202101106.

It is not a weakly prime, because it can be changed into another prime (221221202101169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110610601050564 + 110610601050565.

It is an arithmetic number, because the mean of its divisors is an integer number (110610601050565).

Almost surely, 2^{221221202101129} is an apocalyptic number.

It is an amenable number.

221221202101129 is a deficient number, since it is larger than the sum of its proper divisors (1).

221221202101129 is an equidigital number, since it uses as much as digits as its factorization.

221221202101129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 221221202101129 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, two hundred two million, one hundred one thousand, one hundred twenty-nine".