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101012120202202 = 211210117323888597
BaseRepresentation
bin10110111101111010110111…
…100010101110101111011010
3111020122122221100001000112121
4112331322313202232233122
5101214440310232432302
6554500154415131454
730163612335000616
oct2675726742565732
9436578840030477
10101012120202202
112a204aaa523400
12b3b49aa813b8a
13444952c441261
141ad3026c06346
15ba28550ebe37
hex5bdeb78aebda

101012120202202 has 48 divisors (see below), whose sum is σ = 169165960084296. Its totient is φ = 45197223632000.

The previous prime is 101012120202199. The next prime is 101012120202209. The reversal of 101012120202202 is 202202021210101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 95244346381041 + 5767773821161 = 9759321^2 + 2401619^2 .

It is not an unprimeable number, because it can be changed into a prime (101012120202209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7715833 + ... + 16172764.

Almost surely, 2101012120202202 is an apocalyptic number.

101012120202202 is a deficient number, since it is larger than the sum of its proper divisors (68153839882094).

101012120202202 is a wasteful number, since it uses less digits than its factorization.

101012120202202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23888895 (or 23888884 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101012120202202 its reverse (202202021210101), we get a palindrome (303214141412303).

The spelling of 101012120202202 in words is "one hundred one trillion, twelve billion, one hundred twenty million, two hundred two thousand, two hundred two".

Divisors: 1 2 11 22 101 121 173 202 242 346 1111 1903 2222 3806 12221 17473 20933 24442 34946 41866 192203 384406 2114233 4228466 23888597 47777194 262774567 525549134 2412748297 2890520237 4132727281 4825496594 5781040474 8265454562 26540231267 45460000091 53080462534 90920000182 291942543937 417405455381 500060001001 583885087874 834810910762 1000120002002 4591460009191 9182920018382 50506060101101 101012120202202