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100200021100102 = 27211194892101411
BaseRepresentation
bin10110110010000110100010…
…101010100000011001000110
3111010210000202202022012200101
4112302012202222200121012
5101113134120400200402
6553035130525034314
730051132634346500
oct2662064252403106
9433700682265611
10100200021100102
1129a2165477a180
12b2a35283b599a
1343baa8a942191
141aa59c7a26d70
15b8b674a10b87
hex5b21a2aa0646

100200021100102 has 48 divisors (see below), whose sum is σ = 200771841948480. Its totient is φ = 36984286659600.

The previous prime is 100200021100093. The next prime is 100200021100111. The reversal of 100200021100102 is 201001120002001.

It is an interprime number because it is at equal distance from previous prime (100200021100093) and next prime (100200021100111).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2446030224 + ... + 2446071187.

It is an arithmetic number, because the mean of its divisors is an integer number (4182746707260).

Almost surely, 2100200021100102 is an apocalyptic number.

100200021100102 is an abundant number, since it is smaller than the sum of its proper divisors (100571820848378).

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

100200021100102 is a wasteful number, since it uses less digits than its factorization.

100200021100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892101457 (or 4892101450 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100200021100102 its reverse (201001120002001), we get a palindrome (301201141102103).

The spelling of 100200021100102 in words is "one hundred trillion, two hundred billion, twenty-one million, one hundred thousand, one hundred two".

Divisors: 1 2 7 11 14 19 22 38 49 77 98 133 154 209 266 418 539 931 1078 1463 1862 2926 10241 20482 4892101411 9784202822 34244709877 53813115521 68489419754 92949926809 107626231042 185899853618 239712969139 376691808647 479425938278 650649487663 753383617294 1022449194899 1301298975326 2044898389798 2636842660529 4554546413641 5273685321058 7157144364293 9109092827282 14314288728586 50100010550051 100200021100102