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122031202201 is a prime number
BaseRepresentation
bin111000110100110100…
…0000101111110011001
3102122222120020101002121
41301221220011332121
53444404441432301
6132021012101241
711550022050466
oct1615150057631
9378876211077
10122031202201
1147831483427
121b798004821
13b679c6796c
145c9900466d
15329347d3a1
hex1c69a05f99

122031202201 has 2 divisors, whose sum is σ = 122031202202. Its totient is φ = 122031202200.

The previous prime is 122031202157. The next prime is 122031202247. The reversal of 122031202201 is 102202130221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120286886976 + 1744315225 = 346824^2 + 41765^2 .

It is a cyclic number.

It is not a de Polignac number, because 122031202201 - 211 = 122031200153 is a prime.

It is a super-2 number, since 2×1220312022012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122031202261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61015601100 + 61015601101.

It is an arithmetic number, because the mean of its divisors is an integer number (61015601101).

Almost surely, 2122031202201 is an apocalyptic number.

It is an amenable number.

122031202201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122031202201 is an equidigital number, since it uses as much as digits as its factorization.

122031202201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 122031202201 its reverse (102202130221), we get a palindrome (224233332422).

It can be divided in two parts, 12203 and 1202201, that added together give a square (1214404 = 11022).

The spelling of 122031202201 in words is "one hundred twenty-two billion, thirty-one million, two hundred two thousand, two hundred one".