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2122100101 = 111970914321
BaseRepresentation
bin111111001111100…
…1010110110000101
312110220002212002001
41332133022312011
513321224200401
6550323545301
7103405360522
oct17637126605
95426085061
102122100101
11999963240
124b282b231
1327a858144
14161ba0149
15c6480601
hex7e7cad85

2122100101 has 16 divisors (see below), whose sum is σ = 2440468800. Its totient is φ = 1824940800.

The previous prime is 2122100081. The next prime is 2122100107. The reversal of 2122100101 is 1010012212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122100101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122100107) 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 15 ways as a sum of consecutive naturals, for example, 141021 + ... + 155341.

It is an arithmetic number, because the mean of its divisors is an integer number (152529300).

Almost surely, 22122100101 is an apocalyptic number.

It is an amenable number.

2122100101 is a deficient number, since it is larger than the sum of its proper divisors (318368699).

2122100101 is a wasteful number, since it uses less digits than its factorization.

2122100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15060.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2122100101 is about 46066.2577273214. The cubic root of 2122100101 is about 1285.0557089506.

Adding to 2122100101 its reverse (1010012212), we get a palindrome (3132112313).

It can be divided in two parts, 21 and 22100101, that added together give a palindrome (22100122).

The spelling of 2122100101 in words is "two billion, one hundred twenty-two million, one hundred thousand, one hundred one".

Divisors: 1 11 19 209 709 7799 13471 14321 148181 157531 272099 2993089 10153589 111689479 192918191 2122100101