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1020121010100 = 2232522294949641
BaseRepresentation
bin11101101100000111111…
…00110100111110110100
310121112002222122122101100
432312003330310332310
5113203201434310400
62100345341330100
7133462356342033
oct16660374647664
93545088578340
101020121010100
113636a3796665
12145858566930
1375273a6208a
143753482c71a
151b807e37100
hexed83f34fb4

1020121010100 has 108 divisors (see below), whose sum is σ = 3211476218860. Its totient is φ = 270844300800.

The previous prime is 1020121010093. The next prime is 1020121010143. The reversal of 1020121010100 is 10101210201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 138602822436 + 881518187664 = 372294^2 + 938892^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2268721 + ... + 2680920.

Almost surely, 21020121010100 is an apocalyptic number.

1020121010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020121010100 is an abundant number, since it is smaller than the sum of its proper divisors (2191355208760).

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

1020121010100 is a wasteful number, since it uses less digits than its factorization.

1020121010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4949890 (or 4949880 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1020121010100 its reverse (10101210201), we get a palindrome (1030222220301).

The spelling of 1020121010100 in words is "one trillion, twenty billion, one hundred twenty-one million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 229 300 450 458 687 900 916 1145 1374 2061 2290 2748 3435 4122 4580 5725 6870 8244 10305 11450 13740 17175 20610 22900 34350 41220 51525 68700 103050 206100 4949641 9899282 14848923 19798564 24748205 29697846 44546769 49496410 59395692 74244615 89093538 98992820 123741025 148489230 178187076 222733845 247482050 296978460 371223075 445467690 494964100 742446150 890935380 1113669225 1133467789 1484892300 2227338450 2266935578 3400403367 4454676900 4533871156 5667338945 6800806734 10201210101 11334677890 13601613468 17002016835 20402420202 22669355780 28336694725 34004033670 40804840404 51006050505 56673389450 68008067340 85010084175 102012101010 113346778900 170020168350 204024202020 255030252525 340040336700 510060505050 1020121010100