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2122212101201 = 17417938541527
BaseRepresentation
bin11110111000011101101…
…100101100110001010001
321111212210121110211211122
4132320131230230301101
5234232242244214301
64302533014252025
7306216252140063
oct36703554546121
97455717424748
102122212101201
11749030450315
122a3370657015
1312517bb2915a
1474a03903733
153a30c29081b
hex1ee1db2cc51

2122212101201 has 16 divisors (see below), whose sum is σ = 2330991613440. Its totient is φ = 1923992977920.

The previous prime is 2122212101197. The next prime is 2122212101203. The reversal of 2122212101201 is 1021012122212.

It is a cyclic number.

It is not a de Polignac number, because 2122212101201 - 22 = 2122212101197 is a prime.

It is a super-3 number, since 3×21222121012013 (a number of 38 digits) contains 333 as substring.

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 2122212101201.

It is not an unprimeable number, because it can be changed into a prime (2122212101203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19215701 + ... + 19325826.

It is an arithmetic number, because the mean of its divisors is an integer number (145686975840).

Almost surely, 22122212101201 is an apocalyptic number.

It is an amenable number.

2122212101201 is a deficient number, since it is larger than the sum of its proper divisors (208779512239).

2122212101201 is a wasteful number, since it uses less digits than its factorization.

2122212101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38541664.

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

Adding to 2122212101201 its reverse (1021012122212), we get a palindrome (3143224223413).

The spelling of 2122212101201 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, one hundred one thousand, two hundred one".

Divisors: 1 17 41 79 697 1343 3239 55063 38541527 655205959 1580202607 3044780633 26863444319 51761270761 124836005953 2122212101201