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121021002220221 = 32231931302766713
BaseRepresentation
bin11011100001000101100101…
…110110010000001010111101
3120212111111100201120210100200
4123201011211312100022331
5111330302003032021341
61105220140401514113
734330323152646015
oct3341054566201275
9525444321523320
10121021002220221
113561979a818aa4
12116a6820942939
13526b301906a4c
1421c563a926c45
15ded079b06db6
hex6e1165d902bd

121021002220221 has 24 divisors (see below), whose sum is σ = 182502930931776. Its totient is φ = 77132847549120.

The previous prime is 121021002220123. The next prime is 121021002220271. The reversal of 121021002220221 is 122022200120121.

It is a happy number.

121021002220221 is a `hidden beast` number, since 1 + 2 + 10 + 210 + 0 + 2 + 220 + 221 = 666.

It is not a de Polignac number, because 121021002220221 - 27 = 121021002220093 is a prime.

It is a super-2 number, since 2×1210210022202212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121021002220194 and 121021002220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121021002220271) 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 23 ways as a sum of consecutive naturals, for example, 150983640 + ... + 151783073.

It is an arithmetic number, because the mean of its divisors is an integer number (7604288788824).

Almost surely, 2121021002220221 is an apocalyptic number.

It is an amenable number.

121021002220221 is a deficient number, since it is larger than the sum of its proper divisors (61481928711555).

121021002220221 is a wasteful number, since it uses less digits than its factorization.

121021002220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302768673 (or 302768670 counting only the distinct ones).

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

Adding to 121021002220221 its reverse (122022200120121), we get a palindrome (243043202340342).

The spelling of 121021002220221 in words is "one hundred twenty-one trillion, twenty-one billion, two million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 23 69 207 1931 5793 17379 44413 133239 399717 302766713 908300139 2724900417 6963634399 20890903197 62672709591 584642522803 1753927568409 5261782705227 13446778024469 40340334073407 121021002220221