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122103102001 is a prime number
BaseRepresentation
bin111000110110111101…
…0010111101000110001
3102200011120112021002011
41301231322113220301
54000031343231001
6132032101122521
711551554146056
oct1615572275061
9380146467064
10122103102001
1147869021851
121b7b80b9441
13b68bb2011a
145ca479d02d
153299931d51
hex1c6de97a31

122103102001 has 2 divisors, whose sum is σ = 122103102002. Its totient is φ = 122103102000.

The previous prime is 122103101993. The next prime is 122103102049. The reversal of 122103102001 is 100201301221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121783550625 + 319551376 = 348975^2 + 17876^2 .

It is a cyclic number.

It is not a de Polignac number, because 122103102001 - 23 = 122103101993 is a prime.

It is a super-2 number, since 2×1221031020012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122103102101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051551000 + 61051551001.

It is an arithmetic number, because the mean of its divisors is an integer number (61051551001).

Almost surely, 2122103102001 is an apocalyptic number.

It is an amenable number.

122103102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122103102001 is an equidigital number, since it uses as much as digits as its factorization.

122103102001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 122103102001 its reverse (100201301221), we get a palindrome (222304403222).

The spelling of 122103102001 in words is "one hundred twenty-two billion, one hundred three million, one hundred two thousand, one".