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1012121202100 = 225217595365413
BaseRepresentation
bin11101011101001110001…
…11111110110110110100
310120202110110121021212011
432232213013332312310
5113040311011431400
62052543445534004
7133060210161451
oct16564707766664
93522413537764
101012121202100
1136026903a498
121441a5414304
137459a588488
1436db61b4828
151b4da9788ba
hexeba71fedb4

1012121202100 has 36 divisors (see below), whose sum is σ = 2325497307084. Its totient is φ = 381033863680.

The previous prime is 1012121202041. The next prime is 1012121202121. The reversal of 1012121202100 is 12021212101.

It can be written as a sum of positive squares in 6 ways, for example, as 72532185124 + 939589016976 = 269318^2 + 969324^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297681007 + ... + 297684406.

It is an arithmetic number, because the mean of its divisors is an integer number (64597147419).

Almost surely, 21012121202100 is an apocalyptic number.

1012121202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012121202100 is an abundant number, since it is smaller than the sum of its proper divisors (1313376104984).

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

1012121202100 is a wasteful number, since it uses less digits than its factorization.

1012121202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595365444 (or 595365437 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1012121202100 its reverse (12021212101), we get a palindrome (1024142414201).

The spelling of 1012121202100 in words is "one trillion, twelve billion, one hundred twenty-one million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 595365413 1190730826 2381461652 2976827065 5953654130 10121212021 11907308260 14884135325 20242424042 29768270650 40484848084 50606060105 59536541300 101212120210 202424240420 253030300525 506060601050 1012121202100