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100122010022122 = 21124110199910001
BaseRepresentation
bin10110110000111101111000…
…110101110111000011101010
3111010111120102000200211202221
4112300331320311313003222
5101110344334031201442
6552535225540544254
730042401513210404
oct2660757065670352
9433446360624687
10100122010022122
11299a1562533700
12b2903966b208a
1343b36078a62ca
141aa1d070a1b74
15b8960ae67467
hex5b0f78d770ea

100122010022122 has 48 divisors (see below), whose sum is σ = 170777764978632. Its totient is φ = 43960400000000.

The previous prime is 100122010022039. The next prime is 100122010022129. The reversal of 100122010022122 is 221220010221001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 87323997462361 + 12798012559761 = 9344731^2 + 3577431^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100122010022096 and 100122010022105.

It is not an unprimeable number, because it can be changed into a prime (100122010022129) 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, 48952879 + ... + 50957122.

Almost surely, 2100122010022122 is an apocalyptic number.

100122010022122 is a deficient number, since it is larger than the sum of its proper divisors (70655754956510).

100122010022122 is a wasteful number, since it uses less digits than its factorization.

100122010022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99910167 (or 99910156 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100122010022122 its reverse (221220010221001), we get a palindrome (321342020243123).

The spelling of 100122010022122 in words is "one hundred trillion, one hundred twenty-two billion, ten million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 11 22 41 82 101 121 202 242 451 902 1111 2222 4141 4961 8282 9922 12221 24442 45551 91102 501061 1002122 99910001 199820002 1099010011 2198020022 4096310041 8192620082 10090910101 12089110121 20181820202 24178220242 45059410451 90118820902 111000011111 222000022222 413727314141 495653514961 827454628282 991307029922 1221000122221 2442000244442 4551000455551 9102000911102 50061005011061 100122010022122