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2122201221021 = 337292927132283
BaseRepresentation
bin11110111000011101000…
…011001100011110011101
321111212202212000002001000
4132320131003030132131
5234232232003033041
64302531545140513
7306216060513330
oct36703503143635
97455685002030
102122201221021
11749025299932
122a3368a8a739
131251797b9a8b
1474a022b0617
153a30b341bb6
hex1ee1d0cc79d

2122201221021 has 64 divisors (see below), whose sum is σ = 3718344499200. Its totient is φ = 1170460767168.

The previous prime is 2122201220989. The next prime is 2122201221037. The reversal of 2122201221021 is 1201221022212.

It is a happy number.

2122201221021 is a `hidden beast` number, since 212 + 220 + 1 + 2 + 210 + 21 = 666.

It is not a de Polignac number, because 2122201221021 - 25 = 2122201220989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122201220985 and 2122201221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122201221221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15976746 + ... + 16109028.

It is an arithmetic number, because the mean of its divisors is an integer number (58099132800).

Almost surely, 22122201221021 is an apocalyptic number.

2122201221021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2122201221021 is a deficient number, since it is larger than the sum of its proper divisors (1596143278179).

2122201221021 is a wasteful number, since it uses less digits than its factorization.

2122201221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135255 (or 135249 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122201221021 its reverse (1201221022212), we get a palindrome (3323422243233).

The spelling of 2122201221021 in words is "two trillion, one hundred twenty-two billion, two hundred one million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 7 9 21 27 29 63 87 189 203 261 609 783 1827 2927 5481 8781 20489 26343 61467 79029 84883 132283 184401 254649 396849 553203 594181 763947 925981 1190547 1782543 2291841 2777943 3571641 3836207 5347629 8333829 11508621 16042887 25001487 26853449 34525863 80560347 103577589 241681041 387192341 725043123 1161577023 2710346387 3484731069 8131039161 10454193207 11228577889 24393117483 33685733667 73179352449 78600045223 101057201001 235800135669 303171603003 707400407007 2122201221021