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211212102010100 = 225220171047159653
BaseRepresentation
bin110000000001100010100110…
…010100000000010011110100
31000200211200100112122020021112
4300001202212110000103310
5210140444341103310400
62025113300011134152
762326366533035342
oct6001424624002364
91020750315566245
10211212102010100
11613316053297a4
121b8323a1744358
1390b12a6032309
143a22a12650992
1519641a138d835
hexc018a65004f4

211212102010100 has 36 divisors (see below), whose sum is σ = 458557495444524. Its totient is φ = 84442954337280.

The previous prime is 211212102010061. The next prime is 211212102010277. The reversal of 211212102010100 is 1010201212112.

It can be written as a sum of positive squares in 6 ways, for example, as 807909750244 + 210404192259856 = 898838^2 + 14505316^2 .

It is a super-2 number, since 2×2112121020101002 (a number of 29 digits) contains 22 as substring.

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, 523378127 + ... + 523781526.

Almost surely, 2211212102010100 is an apocalyptic number.

211212102010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212102010100 is an abundant number, since it is smaller than the sum of its proper divisors (247345393434424).

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

211212102010100 is a wasteful number, since it uses less digits than its factorization.

211212102010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047161684 (or 1047161677 counting only the distinct ones).

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

Adding to 211212102010100 its reverse (1010201212112), we get a palindrome (212222303222212).

The spelling of 211212102010100 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred two million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2017 4034 8068 10085 20170 40340 50425 100850 201700 1047159653 2094319306 4188638612 5235798265 10471596530 20943193060 26178991325 52357982650 104715965300 2112121020101 4224242040202 8448484080404 10560605100505 21121210201010 42242420402020 52803025502525 105606051005050 211212102010100