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10212002200100 = 2252293521380069
BaseRepresentation
bin1001010010011010101011…
…0000110111101000100100
31100011020221222202212122102
42110212222300313220210
52314303140030400400
633415155023551232
72102535635330321
oct224465260675044
940136858685572
1010212002200100
113287982019858
12118b1a2a5b518
13590cabbcc73c
14274399241b48
1512a986e1e9d5
hex949aac37a24

10212002200100 has 36 divisors (see below), whose sum is σ = 22924184255700. Its totient is φ = 3943945676160.

The previous prime is 10212002200087. The next prime is 10212002200163. The reversal of 10212002200100 is 100220021201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 103328816704 + 10108673383396 = 321448^2 + 3179414^2 .

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, 1760687135 + ... + 1760692934.

Almost surely, 210212002200100 is an apocalyptic number.

10212002200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212002200100 is an abundant number, since it is smaller than the sum of its proper divisors (12712182055600).

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

10212002200100 is a wasteful number, since it uses less digits than its factorization.

10212002200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521380112 (or 3521380105 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10212002200100 its reverse (100220021201), we get a palindrome (10312222221301).

The spelling of 10212002200100 in words is "ten trillion, two hundred twelve billion, two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 3521380069 7042760138 14085520276 17606900345 35213800690 70427601380 88034501725 102120022001 176069003450 204240044002 352138006900 408480088004 510600110005 1021200220010 2042400440020 2553000550025 5106001100050 10212002200100