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2122202022121 = 73100928811953
BaseRepresentation
bin11110111000011101000…
…110010000000011101001
321111212202220111202221101
4132320131012100003221
5234232232204201441
64302532014241401
7306216100361026
oct36703506200351
97455686452841
102122202022121
117490257967a5
122a33691b6261
13125179a0a5bc
1474a0243c54d
153a30b44e231
hex1ee1d1900e9

2122202022121 has 8 divisors (see below), whose sum is σ = 2153405441960. Its totient is φ = 2091056228352.

The previous prime is 2122202022107. The next prime is 2122202022137. The reversal of 2122202022121 is 1212202022212.

It can be written as a sum of positive squares in 4 ways, for example, as 8118010000 + 2114084012121 = 90100^2 + 1453989^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2122202022121 - 27 = 2122202021993 is a prime.

It is a super-2 number, since 2×21222020221212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2122202022181) 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 7 ways as a sum of consecutive naturals, for example, 14332320 + ... + 14479633.

It is an arithmetic number, because the mean of its divisors is an integer number (269175680245).

Almost surely, 22122202022121 is an apocalyptic number.

It is an amenable number.

2122202022121 is a deficient number, since it is larger than the sum of its proper divisors (31203419839).

2122202022121 is a wasteful number, since it uses less digits than its factorization.

2122202022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28813035.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2122202022121 its reverse (1212202022212), we get a palindrome (3334404044333).

Subtracting from 2122202022121 its reverse (1212202022212), we obtain a palindrome (909999999909).

The spelling of 2122202022121 in words is "two trillion, one hundred twenty-two billion, two hundred two million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 73 1009 73657 28811953 2103272569 29071260577 2122202022121