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12101000102120 = 235521580662193
BaseRepresentation
bin1011000000010111101111…
…0100000000000011101000
31120211211210111120220020102
42300011323310000003220
53041230322011231440
641423042300444532
72356161030505436
oct260057364000350
946754714526212
1012101000102120
1139460070a3486
121435308549748
1369a172473b17
142db9977b5d56
1515eb94d5bb15
hexb017bd000e8

12101000102120 has 32 divisors (see below), whose sum is σ = 27279509874120. Its totient is φ = 4831109437440.

The previous prime is 12101000102101. The next prime is 12101000102131. The reversal of 12101000102120 is 2120100010121.

It can be written as a sum of positive squares in 4 ways, for example, as 10570964695204 + 1530035406916 = 3251302^2 + 1236946^2 .

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 7 ways as a sum of consecutive naturals, for example, 290310257 + ... + 290351936.

Almost surely, 212101000102120 is an apocalyptic number.

12101000102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101000102120 is an abundant number, since it is smaller than the sum of its proper divisors (15178509772000).

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

12101000102120 is a wasteful number, since it uses less digits than its factorization.

12101000102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580662725 (or 580662721 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12101000102120 its reverse (2120100010121), we get a palindrome (14221100112241).

The spelling of 12101000102120 in words is "twelve trillion, one hundred one billion, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 521 1042 2084 2605 4168 5210 10420 20840 580662193 1161324386 2322648772 2903310965 4645297544 5806621930 11613243860 23226487720 302525002553 605050005106 1210100010212 1512625012765 2420200020424 3025250025530 6050500051060 12101000102120