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10221202022121 = 3210161731821553
BaseRepresentation
bin1001010010111100111100…
…0111011001111011101001
31100012010201010212020221100
42110233033013121323221
52314431010204201441
633423315544032013
72103312625455006
oct224571707317351
940163633766840
1010221202022121
113290873091252
121190b2ba62609
13591b16ba3ccc
142749ccdd08ad
1512ad2491ccb6
hex94bcf1d9ee9

10221202022121 has 24 divisors (see below), whose sum is σ = 14912559849096. Its totient is φ = 6745571366400.

The previous prime is 10221202022113. The next prime is 10221202022123. The reversal of 10221202022121 is 12122020212201.

It is a happy number.

10221202022121 is a `hidden beast` number, since 1 + 0 + 221 + 202 + 0 + 221 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 589731843600 + 9631470178521 = 767940^2 + 3103461^2 .

It is not a de Polignac number, because 10221202022121 - 23 = 10221202022113 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10221202022094 and 10221202022103.

It is not an unprimeable number, because it can be changed into a prime (10221202022123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4700481 + ... + 6522033.

It is an arithmetic number, because the mean of its divisors is an integer number (621356660379).

Almost surely, 210221202022121 is an apocalyptic number.

It is an amenable number.

10221202022121 is a deficient number, since it is larger than the sum of its proper divisors (4691357826975).

10221202022121 is a wasteful number, since it uses less digits than its factorization.

10221202022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827833 (or 1827830 counting only the distinct ones).

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

Adding to 10221202022121 its reverse (12122020212201), we get a palindrome (22343222234322).

The spelling of 10221202022121 in words is "ten trillion, two hundred twenty-one billion, two hundred two million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 101 303 909 6173 18519 55557 623473 1821553 1870419 5464659 5611257 16393977 183976853 551930559 1655791677 11244446669 33733340007 101200020021 1135689113569 3407067340707 10221202022121