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21010102121120 = 255719987316829
BaseRepresentation
bin1001100011011110010111…
…01011000111001010100000
32202101112202010210212002212
410301233023223013022200
510223212142120333440
6112403524020101252
74265633626261040
oct461571353071240
982345663725085
1021010102121120
116770374a08062
122433a94834828
13b95323473b28
14528c7420b720
152667c342d465
hex131bcbac72a0

21010102121120 has 96 divisors (see below), whose sum is σ = 59712921878400. Its totient is φ = 6824333915136.

The previous prime is 21010102121059. The next prime is 21010102121123. The reversal of 21010102121120 is 2112120101012.

It is a super-2 number, since 2×210101021211202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21010102121095 and 21010102121104.

It is not an unprimeable number, because it can be changed into a prime (21010102121123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493637135 + ... + 493679694.

It is an arithmetic number, because the mean of its divisors is an integer number (622009602900).

Almost surely, 221010102121120 is an apocalyptic number.

21010102121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21010102121120 is an abundant number, since it is smaller than the sum of its proper divisors (38702819757280).

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

21010102121120 is a wasteful number, since it uses less digits than its factorization.

21010102121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987316870 (or 987316862 counting only the distinct ones).

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

Adding to 21010102121120 its reverse (2112120101012), we get a palindrome (23122222222132).

The spelling of 21010102121120 in words is "twenty-one trillion, ten billion, one hundred two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 380 532 560 608 665 760 1064 1120 1330 1520 2128 2660 3040 4256 5320 10640 21280 987316829 1974633658 3949267316 4936584145 6911217803 7898534632 9873168290 13822435606 15797069264 18759019751 19746336580 27644871212 31594138528 34556089015 37518039502 39492673160 55289742424 69112178030 75036079004 78985346320 93795098755 110579484848 131313138257 138224356060 150072158008 157970692640 187590197510 221158969696 262626276514 276448712120 300144316016 375180395020 525252553028 552897424240 600288632032 656565691285 750360790040 1050505106056 1105794848480 1313131382570 1500721580080 2101010212112 2626262765140 3001443160160 4202020424224 5252525530280 10505051060560 21010102121120