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102002201221100 = 225249919583104383
BaseRepresentation
bin10111001100010100111100…
…111110000101011111101100
3111101011022111210010222221012
4113030110330332011133230
5101332201002003033400
61000535055255324352
730325262430543455
oct2714247476053754
9441138453128835
10102002201221100
112a556988440a54
12b5348629806b8
1344bb9c67486bb
141b28d0bb7a12c
15bbd4a0b5ad35
hex5cc53cf857ec

102002201221100 has 72 divisors (see below), whose sum is σ = 221801803776000. Its totient is φ = 40716645814080.

The previous prime is 102002201221069. The next prime is 102002201221189. The reversal of 102002201221100 is 1122102200201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 977139509 + ... + 977243891.

It is an arithmetic number, because the mean of its divisors is an integer number (3080580608000).

Almost surely, 2102002201221100 is an apocalyptic number.

102002201221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002201221100 is an abundant number, since it is smaller than the sum of its proper divisors (119799602554900).

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

102002201221100 is a wasteful number, since it uses less digits than its factorization.

102002201221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124479 (or 124472 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102002201221100 its reverse (1122102200201), we get a palindrome (103124303421301).

It can be divided in two parts, 102002 and 201221100, that added together give a palindrome (201323102).

The spelling of 102002201221100 in words is "one hundred two trillion, two billion, two hundred one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 499 998 1996 2495 4990 9980 12475 19583 24950 39166 49900 78332 97915 104383 195830 208766 391660 417532 489575 521915 979150 1043830 1958300 2087660 2609575 5219150 9771917 10438300 19543834 39087668 48859585 52087117 97719170 104174234 195438340 208348468 244297925 260435585 488595850 520871170 977191700 1041742340 1302177925 2044132289 2604355850 4088264578 5208711700 8176529156 10220661445 20441322890 40882645780 51103307225 102206614450 204413228900 1020022012211 2040044024422 4080088048844 5100110061055 10200220122110 20400440244220 25500550305275 51001100610550 102002201221100