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122001100101 = 341506186421
BaseRepresentation
bin111000110011111010…
…1010000110101000101
3102122220110121000210000
41301213311100311011
53444324240200401
6132014014551513
711546205145326
oct1614765206505
9378813530700
10122001100101
1147816493261
121b789b08599
13b67395837a
145c9500a44d
1532909d4186
hex1c67d50d45

122001100101 has 10 divisors (see below), whose sum is σ = 182248557062. Its totient is φ = 81334066680.

The previous prime is 122001100099. The next prime is 122001100237. The reversal of 122001100101 is 101001100221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 121124880900 + 876219201 = 348030^2 + 29601^2 .

It is not a de Polignac number, because 122001100101 - 21 = 122001100099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001100601) 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 in 9 ways as a sum of consecutive naturals, for example, 753093130 + ... + 753093291.

Almost surely, 2122001100101 is an apocalyptic number.

It is an amenable number.

122001100101 is a deficient number, since it is larger than the sum of its proper divisors (60247456961).

122001100101 is an equidigital number, since it uses as much as digits as its factorization.

122001100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506186433 (or 1506186424 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 122001100101 its reverse (101001100221), we get a palindrome (223002200322).

The spelling of 122001100101 in words is "one hundred twenty-two billion, one million, one hundred thousand, one hundred one".

Divisors: 1 3 9 27 81 1506186421 4518559263 13555677789 40667033367 122001100101