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101121020220 = 2235111011516967
BaseRepresentation
bin101111000101101001…
…0000101000100111100
3100200000022001001220010
41132023102011010330
53124043440121340
6114242050223220
710206605330013
oct1361322050474
9320008031803
10101121020220
11399811a81a0
1217721284b10
1396c6b4000c
144c73cb1a7a
15296c873b80
hex178b48513c

101121020220 has 96 divisors (see below), whose sum is σ = 311937163776. Its totient is φ = 24271456000.

The previous prime is 101121020207. The next prime is 101121020249. The reversal of 101121020220 is 22020121101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101121020196 and 101121020205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691824 + ... + 825143.

It is an arithmetic number, because the mean of its divisors is an integer number (3249345456).

Almost surely, 2101121020220 is an apocalyptic number.

101121020220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121020220 is an abundant number, since it is smaller than the sum of its proper divisors (210816143556).

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

101121020220 is a wasteful number, since it uses less digits than its factorization.

101121020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517091 (or 1517089 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101121020220 its reverse (22020121101), we get a palindrome (123141141321).

The spelling of 101121020220 in words is "one hundred one billion, one hundred twenty-one million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 66660 1516967 3033934 4550901 6067868 7584835 9101802 15169670 16686637 18203604 22754505 30339340 33373274 45509010 50059911 66746548 83433185 91018020 100119822 153213667 166866370 200239644 250299555 306427334 333732740 459641001 500599110 612854668 766068335 919282002 1001198220 1532136670 1685350337 1838564004 2298205005 3064273340 3370700674 4596410010 5056051011 6741401348 8426751685 9192820020 10112102022 16853503370 20224204044 25280255055 33707006740 50560510110 101121020220