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1020122222121 = 3329101109118343
BaseRepresentation
bin11101101100001000000…
…01011100111000101001
310121112010001221012222000
432312010001130320221
5113203202242101441
62100345423321213
7133462402550442
oct16660401347051
93545101835860
101020122222121
113636a4444232
12145858a50209
1375274097952
1437534a662c9
151b8080c62b6
hexed8405ce29

1020122222121 has 64 divisors (see below), whose sum is σ = 1593383616000. Its totient is φ = 644159174400.

The previous prime is 1020122222051. The next prime is 1020122222123. The reversal of 1020122222121 is 1212222210201.

It is a happy number.

1020122222121 is a `hidden beast` number, since 1 + 0 + 201 + 222 + 221 + 21 = 666.

It is not a de Polignac number, because 1020122222121 - 238 = 745244315177 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020122222094 and 1020122222103.

It is not an unprimeable number, because it can be changed into a prime (1020122222123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8560876 + ... + 8679218.

It is an arithmetic number, because the mean of its divisors is an integer number (24896619000).

Almost surely, 21020122222121 is an apocalyptic number.

It is an amenable number.

1020122222121 is a deficient number, since it is larger than the sum of its proper divisors (573261393879).

1020122222121 is a wasteful number, since it uses less digits than its factorization.

1020122222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118591 (or 118585 counting only the distinct ones).

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

Adding to 1020122222121 its reverse (1212222210201), we get a palindrome (2232344432322).

The spelling of 1020122222121 in words is "one trillion, twenty billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 27 29 87 101 109 261 303 327 783 909 981 2727 2929 2943 3161 8787 9483 11009 26361 28449 33027 79083 85347 99081 118343 297243 319261 355029 957783 1065087 2873349 3195261 3431947 8620047 10295841 11952643 12899387 30887523 35857929 38698161 92662569 107573787 116094483 322721361 346626647 348283449 374082223 1039879941 1122246669 1302838087 3119639823 3366740007 3908514261 9358919469 10100220021 11725542783 35176628349 37782304523 113346913569 340040740707 1020122222121