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1212021100100 = 225218616512741
BaseRepresentation
bin10001101000110010000…
…101100100111001000100
311021212102211112021020002
4101220302011210321010
5124324204400200400
62324443402300432
7153365004240056
oct21506205447104
94255384467202
101212021100100
1142801934a568
12176a934b7718
138a3a6c295a5
144293ac798d6
15217da227ed5
hex11a32164e44

1212021100100 has 36 divisors (see below), whose sum is σ = 2631499456068. Its totient is φ = 484547856000.

The previous prime is 1212021100099. The next prime is 1212021100111. The reversal of 1212021100100 is 10011202121.

It can be written as a sum of positive squares in 6 ways, for example, as 45106963456 + 1166914136644 = 212384^2 + 1080238^2 .

It is a super-2 number, since 2×12120211001002 (a number of 25 digits) contains 22 as substring.

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, 3070271 + ... + 3442470.

It is an arithmetic number, because the mean of its divisors is an integer number (73097207113).

Almost surely, 21212021100100 is an apocalyptic number.

1212021100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1212021100100 is an abundant number, since it is smaller than the sum of its proper divisors (1419478355968).

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

1212021100100 is a wasteful number, since it uses less digits than its factorization.

1212021100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6514616 (or 6514609 counting only the distinct ones).

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

Adding to 1212021100100 its reverse (10011202121), we get a palindrome (1222032302221).

The spelling of 1212021100100 in words is "one trillion, two hundred twelve billion, twenty-one million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1861 3722 7444 9305 18610 37220 46525 93050 186100 6512741 13025482 26050964 32563705 65127410 130254820 162818525 325637050 651274100 12120211001 24240422002 48480844004 60601055005 121202110010 242404220020 303005275025 606010550050 1212021100100