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2121122202021 = 3210117331674259
BaseRepresentation
bin11110110111011100101…
…111000100000110100101
321111202222122122020020100
4132313130233010012211
5234223024240431041
64302232522054313
7306150246143334
oct36673457040645
97452878566210
102121122202021
11748621204999
122a310764a399
131250370a3bb4
147493cc73d1b
153a2967526b6
hex1eddcbc41a5

2121122202021 has 48 divisors (see below), whose sum is σ = 3113777272320. Its totient is φ = 1391221449600.

The previous prime is 2121122201969. The next prime is 2121122202037. The reversal of 2121122202021 is 1202022211212.

It is a happy number.

It is not a de Polignac number, because 2121122202021 - 29 = 2121122201509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121122201985 and 2121122202003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121122202041) 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 47 ways as a sum of consecutive naturals, for example, 498030790 + ... + 498035048.

It is an arithmetic number, because the mean of its divisors is an integer number (64870359840).

Almost surely, 22121122202021 is an apocalyptic number.

It is an amenable number.

2121122202021 is a deficient number, since it is larger than the sum of its proper divisors (992655070299).

2121122202021 is a wasteful number, since it uses less digits than its factorization.

2121122202021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7706 (or 7703 counting only the distinct ones).

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

Adding to 2121122202021 its reverse (1202022211212), we get a palindrome (3323144413233).

The spelling of 2121122202021 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred two thousand, twenty-one".

Divisors: 1 3 9 101 173 303 519 909 1557 3167 4259 9501 12777 17473 28503 38331 52419 157257 319867 430159 547891 736807 959601 1290477 1643673 2210421 2878803 3871431 4931019 6631263 13488253 40464759 55336991 74417507 121394277 166010973 223252521 498032919 669757563 1362313553 2333467769 4086940659 7000403307 12260821977 21001209921 235680244669 707040734007 2121122202021