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201121102101020 = 225443195125314597
BaseRepresentation
bin101101101110101100100111…
…110110001111101000011100
3222101002222201102000121221012
4231232230213312033220130
5202330132004114213040
61551425431522154352
760235343254042463
oct5556544766175034
9871088642017835
10201121102101020
11590a0a86a13152
121a68274a1b29b8
13882b83bb79b5a
1437944558db9da
15183b94c409865
hexb6eb27d8fa1c

201121102101020 has 96 divisors (see below), whose sum is σ = 423784181753856. Its totient is φ = 80176558176000.

The previous prime is 201121102101013. The next prime is 201121102101037. The reversal of 201121102101020 is 20101201121102.

It is a super-2 number, since 2×2011211021010202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201121102100986 and 201121102101004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43750509362 + ... + 43750513958.

It is an arithmetic number, because the mean of its divisors is an integer number (4414418559936).

Almost surely, 2201121102101020 is an apocalyptic number.

201121102101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121102101020 is an abundant number, since it is smaller than the sum of its proper divisors (222663079652836).

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

201121102101020 is a wasteful number, since it uses less digits than its factorization.

201121102101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9531 (or 9529 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201121102101020 its reverse (20101201121102), we get a palindrome (221222303222122).

The spelling of 201121102101020 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 443 886 1772 1951 2215 2531 3902 4430 4597 5062 7804 8860 9194 9755 10124 12655 18388 19510 22985 25310 39020 45970 50620 91940 864293 1121233 1728586 2036471 2242466 3457172 4072942 4321465 4484932 4937981 5606165 8145884 8642930 8968747 9875962 10182355 11212330 11635007 17285860 17937494 19751924 20364710 22424660 23270014 24689905 35874988 40729420 44843735 46540028 49379810 58175035 89687470 98759620 116350070 179374940 232700140 2187525583 3973154921 4375051166 5154308101 7946309842 8750102332 10308616202 10937627915 15892619684 19865774605 20617232404 21875255830 22699898657 25771540505 39731549210 43750511660 45399797314 51543081010 79463098420 90799594628 103086162020 113499493285 226998986570 453997973140 10056055105051 20112110210102 40224220420204 50280275525255 100560551050510 201121102101020