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220021021331101 is a prime number
BaseRepresentation
bin110010000001101110100010…
…110100011100111010011101
31001212000210201021102211100201
4302001232202310130322131
5212314311022430043401
62055540132315423501
764225665005606134
oct6201564264347235
91055023637384321
10220021021331101
11641184336725a1
122081566aa54b91
13959cb7c715973
143c49107a6891b
151a683b9687b01
hexc81ba2d1ce9d

220021021331101 has 2 divisors, whose sum is σ = 220021021331102. Its totient is φ = 220021021331100.

The previous prime is 220021021331081. The next prime is 220021021331113. The reversal of 220021021331101 is 101133120120022.

220021021331101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219874002766201 + 147018564900 = 14828149^2 + 383430^2 .

It is a cyclic number.

It is not a de Polignac number, because 220021021331101 - 29 = 220021021330589 is a prime.

It is a super-3 number, since 3×2200210213311013 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220021021331141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110010510665550 + 110010510665551.

It is an arithmetic number, because the mean of its divisors is an integer number (110010510665551).

Almost surely, 2220021021331101 is an apocalyptic number.

It is an amenable number.

220021021331101 is a deficient number, since it is larger than the sum of its proper divisors (1).

220021021331101 is an equidigital number, since it uses as much as digits as its factorization.

220021021331101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 220021021331101 its reverse (101133120120022), we get a palindrome (321154141451123).

The spelling of 220021021331101 in words is "two hundred twenty trillion, twenty-one billion, twenty-one million, three hundred thirty-one thousand, one hundred one".