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101201002221220 = 2251117210131287731
BaseRepresentation
bin10111000000101010110001…
…110010011100111010100100
3111021022201110211212202022121
4113000222301302130322210
5101231034123032034340
6555123033144235324
730213350114450116
oct2700526162347244
9437281424782277
10101201002221220
112a2781164a3970
12b425522a6bb44
1344612a1267b55
141adc2244a53b6
15ba770c47994a
hex5c0ab1c9cea4

101201002221220 has 96 divisors (see below), whose sum is σ = 245491951049856. Its totient is φ = 34633961932800.

The previous prime is 101201002221217. The next prime is 101201002221269. The reversal of 101201002221220 is 22122200102101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101201002221194 and 101201002221203.

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, 77944755 + ... + 79232485.

It is an arithmetic number, because the mean of its divisors is an integer number (2557207823436).

Almost surely, 2101201002221220 is an apocalyptic number.

101201002221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201002221220 is an abundant number, since it is smaller than the sum of its proper divisors (144290948828636).

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

101201002221220 is a wasteful number, since it uses less digits than its factorization.

101201002221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308781 (or 1308779 counting only the distinct ones).

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

Adding to 101201002221220 its reverse (22122200102101), we get a palindrome (123323202323321).

The spelling of 101201002221220 in words is "one hundred one trillion, two hundred one billion, two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 21013 42026 84052 105065 210130 231143 357221 420260 462286 714442 924572 1155715 1287731 1428884 1786105 2311430 2575462 3572210 3929431 4622860 5150924 6438655 7144420 7858862 12877310 14165041 15717724 19647155 21891427 25754620 28330082 39294310 43782854 56660164 70825205 78588620 87565708 109457135 141650410 218914270 240805697 283300820 437828540 481611394 963222788 1204028485 2408056970 4816113940 27059091503 54118183006 108236366012 135295457515 270590915030 297650006533 460004555551 541181830060 595300013066 920009111102 1190600026132 1488250032665 1840018222204 2300022777755 2976500065330 4600045555510 5060050111061 5953000130660 9200091111020 10120100222122 20240200444244 25300250555305 50600501110610 101201002221220