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221221101029 is a prime number
BaseRepresentation
bin1100111000000111001…
…1100001110111100101
3210011000021112022110012
43032001303201313211
512111030100213104
6245343315540005
721661031222135
oct3160163416745
9704007468405
10221221101029
11859015a9525
1236a5a5ba605
1317b269988a6
14a9c862aac5
155b4b4e7d6e
hex3381ce1de5

221221101029 has 2 divisors, whose sum is σ = 221221101030. Its totient is φ = 221221101028.

The previous prime is 221221100987. The next prime is 221221101053. The reversal of 221221101029 is 920101122122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129814648804 + 91406452225 = 360298^2 + 302335^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221221101029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221221100995 and 221221101013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221221101229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110610550514 + 110610550515.

It is an arithmetic number, because the mean of its divisors is an integer number (110610550515).

Almost surely, 2221221101029 is an apocalyptic number.

It is an amenable number.

221221101029 is a deficient number, since it is larger than the sum of its proper divisors (1).

221221101029 is an equidigital number, since it uses as much as digits as its factorization.

221221101029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 221221101029 in words is "two hundred twenty-one billion, two hundred twenty-one million, one hundred one thousand, twenty-nine".