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122102201001 = 3114218788757
BaseRepresentation
bin111000110110111011…
…0111011101010101001
3102200011111211111010210
41301231312323222221
54000031130413001
6132032025531333
711551543404204
oct1615566735251
9380144744123
10122102201001
1147868566920
121b7b7943b49
13b68b895ca1
145ca460693b
153299804dd6
hex1c6ddbbaa9

122102201001 has 16 divisors (see below), whose sum is σ = 178025082048. Its totient is φ = 73825550400.

The previous prime is 122102200993. The next prime is 122102201009. The reversal of 122102201001 is 100102201221.

It is an interprime number because it is at equal distance from previous prime (122102200993) and next prime (122102201009).

It is not a de Polignac number, because 122102201001 - 23 = 122102200993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122102201009) 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 in 15 ways as a sum of consecutive naturals, for example, 4380486 + ... + 4408271.

It is an arithmetic number, because the mean of its divisors is an integer number (11126567628).

Almost surely, 2122102201001 is an apocalyptic number.

122102201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122102201001 is a deficient number, since it is larger than the sum of its proper divisors (55922881047).

122102201001 is a wasteful number, since it uses less digits than its factorization.

122102201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8789192.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122102201001 its reverse (100102201221), we get a palindrome (222204402222).

It can be divided in two parts, 12210220 and 1001, that added together give a palindrome (12211221).

The spelling of 122102201001 in words is "one hundred twenty-two billion, one hundred two million, two hundred one thousand, one".

Divisors: 1 3 11 33 421 1263 4631 13893 8788757 26366271 96676327 290028981 3700066697 11100200091 40700733667 122102201001