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1221220022101 is a prime number
BaseRepresentation
bin10001110001010110011…
…000101011011101010101
311022202011220220220220221
4101301112120223131111
5130002024311201401
62333004251154341
7154141653625462
oct21612630533525
94282156826827
101221220022101
11430a09957842
121788201459b1
138b2119772c1
1443170872669
1521b77ae97a1
hex11c5662b755

1221220022101 has 2 divisors, whose sum is σ = 1221220022102. Its totient is φ = 1221220022100.

The previous prime is 1221220022083. The next prime is 1221220022117. The reversal of 1221220022101 is 1012200221221.

It is a happy number.

It is an a-pointer prime, because the next prime (1221220022117) can be obtained adding 1221220022101 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 850766416900 + 370453605201 = 922370^2 + 608649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1221220022101 is a prime.

It is a super-3 number, since 3×12212200221013 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1221220022201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610610011050 + 610610011051.

It is an arithmetic number, because the mean of its divisors is an integer number (610610011051).

Almost surely, 21221220022101 is an apocalyptic number.

It is an amenable number.

1221220022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221220022101 is an equidigital number, since it uses as much as digits as its factorization.

1221220022101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1221220022101 its reverse (1012200221221), we get a palindrome (2233420243322).

The spelling of 1221220022101 in words is "one trillion, two hundred twenty-one billion, two hundred twenty million, twenty-two thousand, one hundred one".