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102001012100220 = 223541308811342697
BaseRepresentation
bin10111001100010011110110…
…000101111100110001111100
3111101011012102220121101202010
4113030103312011330301330
5101332141033044201340
61000534341300331220
730325221111305652
oct2714236605746174
9441135386541663
10102001012100220
112a556428195922
12b5345906a3b10
1344bb867292c8c
141b28c37c7cdd2
15bbd43156db80
hex5cc4f617cc7c

102001012100220 has 96 divisors (see below), whose sum is σ = 292578448631616. Its totient is φ = 26535969587200.

The previous prime is 102001012100191. The next prime is 102001012100257. The reversal of 102001012100220 is 22001210100201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102001012100196 and 102001012100205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75295912 + ... + 76638608.

It is an arithmetic number, because the mean of its divisors is an integer number (3047692173246).

Almost surely, 2102001012100220 is an apocalyptic number.

102001012100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001012100220 is an abundant number, since it is smaller than the sum of its proper divisors (190577436531396).

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

102001012100220 is a wasteful number, since it uses less digits than its factorization.

102001012100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373631 (or 1373629 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102001012100220 its reverse (22001210100201), we get a palindrome (124002222200421).

It can be divided in two parts, 10200101 and 2100220, that added together give a palindrome (12300321).

The spelling of 102001012100220 in words is "one hundred two trillion, one billion, twelve million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 30881 61762 92643 123524 154405 185286 308810 370572 463215 617620 926430 1266121 1342697 1852860 2532242 2685394 3798363 4028091 5064484 5370788 6330605 6713485 7596726 8056182 12661210 13426970 15193452 16112364 18991815 20140455 25322420 26853940 37983630 40280910 55050577 75967260 80561820 110101154 165151731 220202308 275252885 330303462 550505770 660606924 825758655 1101011540 1651517310 3303034620 41463826057 82927652114 124391478171 165855304228 207319130285 248782956342 414638260570 497565912684 621957390855 829276521140 1243914781710 1700016868337 2487829563420 3400033736674 5100050605011 6800067473348 8500084341685 10200101210022 17000168683370 20400202420044 25500253025055 34000337366740 51000506050110 102001012100220