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1021022121020 = 2251137127987659
BaseRepresentation
bin11101101101110011010…
…10010010110000111100
310121121102210020211011212
432312321222102300330
5113212023130333040
62101015011303552
7133523610555416
oct16667152226074
93547383224155
101021022121020
11364016407630
12145a6a2aabb8
13753886572c5
14375bc3979b6
151b85c0d2d65
hexedb9a92c3c

1021022121020 has 96 divisors (see below), whose sum is σ = 2421205032960. Its totient is φ = 358401335040.

The previous prime is 1021022121019. The next prime is 1021022121023. The reversal of 1021022121020 is 201212201201.

It is a super-2 number, since 2×10210221210202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1021022120986 and 1021022121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021022121023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539951 + ... + 1527609.

It is an arithmetic number, because the mean of its divisors is an integer number (25220885760).

Almost surely, 21021022121020 is an apocalyptic number.

1021022121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021022121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210602516480).

1021022121020 is an abundant number, since it is smaller than the sum of its proper divisors (1400182911940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1021022121020 is a wasteful number, since it uses less digits than its factorization.

1021022121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987843 (or 987841 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1021022121020 its reverse (201212201201), we get a palindrome (1222234322221).

The spelling of 1021022121020 in words is "one trillion, twenty-one billion, twenty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 127 148 185 220 254 370 407 508 635 740 814 1270 1397 1628 2035 2540 2794 4070 4699 5588 6985 8140 9398 13970 18796 23495 27940 46990 51689 93980 103378 206756 258445 516890 987659 1033780 1975318 3950636 4938295 9876590 10864249 19753180 21728498 36543383 43456996 54321245 73086766 108642490 125432693 146173532 182716915 217284980 250865386 365433830 401977213 501730772 627163465 730867660 803954426 1254326930 1379759623 1607908852 2009886065 2508653860 2759519246 4019772130 4641009641 5519038492 6898798115 8039544260 9282019282 13797596230 18564038564 23205048205 27595192460 46410096410 51051106051 92820192820 102102212102 204204424204 255255530255 510511060510 1021022121020