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1010211002100 = 223352616133643
BaseRepresentation
bin11101011001101010100…
…01001001011011110100
310120120112100020002002000
432230311101021123310
5113022403004031400
62052030131415300
7132661653560316
oct16546521113364
93516470202060
101010211002100
1135a478857a03
12143951754530
13743548c3011
1436c746137b6
151b427e03600
hexeb354496f4

1010211002100 has 144 divisors (see below), whose sum is σ = 3300881855040. Its totient is φ = 264973334400.

The previous prime is 1010211002093. The next prime is 1010211002153. The reversal of 1010211002100 is 12001120101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2902122 + ... + 3231521.

It is an arithmetic number, because the mean of its divisors is an integer number (22922790660).

Almost surely, 21010211002100 is an apocalyptic number.

1010211002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010211002100 is an abundant number, since it is smaller than the sum of its proper divisors (2290670852940).

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

1010211002100 is a wasteful number, since it uses less digits than its factorization.

1010211002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6133727 (or 6133714 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010211002100 its reverse (12001120101), we get a palindrome (1022212122201).

The spelling of 1010211002100 in words is "one trillion, ten billion, two hundred eleven million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 61 75 90 100 108 122 135 150 180 183 225 244 270 300 305 366 450 540 549 610 675 732 900 915 1098 1220 1350 1525 1647 1830 2196 2700 2745 3050 3294 3660 4575 5490 6100 6588 8235 9150 10980 13725 16470 18300 27450 32940 41175 54900 82350 164700 6133643 12267286 18400929 24534572 30668215 36801858 55202787 61336430 73603716 92004645 110405574 122672860 153341075 165608361 184009290 220811148 276013935 306682150 331216722 368018580 374152223 460023225 552027870 613364300 662433444 748304446 828041805 920046450 1104055740 1122456669 1380069675 1496608892 1656083610 1840092900 1870761115 2244913338 2760139350 3312167220 3367370007 3741522230 4140209025 4489826676 5520278700 5612283345 6734740014 7483044460 8280418050 9353805575 10102110021 11224566690 13469480028 16560836100 16836850035 18707611150 20204220042 22449133380 28061416725 33673700070 37415222300 40408440084 50510550105 56122833450 67347400140 84184250175 101021100210 112245666900 168368500350 202042200420 252552750525 336737000700 505105501050 1010211002100