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21123112020301 is a prime number
BaseRepresentation
bin1001100110110000110111…
…00101101010100101001101
32202210100102222212112221101
410303120123211222211031
510232040113134122201
6112531453530303101
74310044256463544
oct463303345524515
982710388775841
1021123112020301
116804297069a55
122451973587a91
13ba2b9340cc65
1453051505315b
152696d98c2d01
hex13361b96a94d

21123112020301 has 2 divisors, whose sum is σ = 21123112020302. Its totient is φ = 21123112020300.

The previous prime is 21123112020293. The next prime is 21123112020319. The reversal of 21123112020301 is 10302021132112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20055663506025 + 1067448514276 = 4478355^2 + 1033174^2 .

It is a cyclic number.

It is not a de Polignac number, because 21123112020301 - 23 = 21123112020293 is a prime.

It is a super-2 number, since 2×211231120203012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21123112020371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561556010150 + 10561556010151.

It is an arithmetic number, because the mean of its divisors is an integer number (10561556010151).

Almost surely, 221123112020301 is an apocalyptic number.

It is an amenable number.

21123112020301 is a deficient number, since it is larger than the sum of its proper divisors (1).

21123112020301 is an equidigital number, since it uses as much as digits as its factorization.

21123112020301 is an odious number, because the sum of its binary digits is odd.

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

Adding to 21123112020301 its reverse (10302021132112), we get a palindrome (31425133152413).

The spelling of 21123112020301 in words is "twenty-one trillion, one hundred twenty-three billion, one hundred twelve million, twenty thousand, three hundred one".