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2202122110121 = 17261124914749
BaseRepresentation
bin100000000010111000101…
…101001100010010101001
321210112001200020220021122
4200002320231030102221
5242034421230010441
64403350235145025
7315045432044033
oct40027055142251
97715050226248
102202122110121
11779a075817aa
122b69522a5175
1312c8754130bb
1478824734c53
153c4378d534b
hex200b8b4c4a9

2202122110121 has 12 divisors (see below), whose sum is σ = 2377627351500. Its totient is φ = 2038608687360.

The previous prime is 2202122110093. The next prime is 2202122110157. The reversal of 2202122110121 is 1210112212022.

It can be written as a sum of positive squares in 6 ways, for example, as 43605792400 + 2158516317721 = 208820^2 + 1469189^2 .

It is not a de Polignac number, because 2202122110121 - 222 = 2202117915817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2202122110121.

It is not an unprimeable number, because it can be changed into a prime (2202122112121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62439746 + ... + 62475003.

It is an arithmetic number, because the mean of its divisors is an integer number (198135612625).

Almost surely, 22202122110121 is an apocalyptic number.

It is an amenable number.

2202122110121 is a deficient number, since it is larger than the sum of its proper divisors (175505241379).

2202122110121 is a wasteful number, since it uses less digits than its factorization.

2202122110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124914844 (or 124914827 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2202122110121 its reverse (1210112212022), we get a palindrome (3412234322143).

The spelling of 2202122110121 in words is "two trillion, two hundred two billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 17 61 289 1037 17629 124914749 2123550733 7619799689 36100362461 129536594713 2202122110121