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102100202112012 = 22313738965595549
BaseRepresentation
bin10111001101110000001110…
…010001110100010000001100
3111101111200110122010002001120
4113031300032101310100030
5101340302203220041022
61001052104010440540
730335332121430546
oct2715601621642014
9441450418102046
10102100202112012
112a5944a8388885
12b54b853133150
1344c8014033450
141b2d9674d4696
15bc0cd960bd5c
hex5cdc0e47440c

102100202112012 has 48 divisors (see below), whose sum is σ = 260073995714400. Its totient is φ = 30985098213888.

The previous prime is 102100202112001. The next prime is 102100202112053. The reversal of 102100202112012 is 210211202001201.

It is a junction number, because it is equal to n+sod(n) for n = 102100202111982 and 102100202112000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4482786387 + ... + 4482809162.

It is an arithmetic number, because the mean of its divisors is an integer number (5418208244050).

Almost surely, 2102100202112012 is an apocalyptic number.

102100202112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102100202112012 is an abundant number, since it is smaller than the sum of its proper divisors (157973793602388).

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

102100202112012 is a wasteful number, since it uses less digits than its factorization.

102100202112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8965595642 (or 8965595640 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102100202112012 its reverse (210211202001201), we get a palindrome (312311404113213).

The spelling of 102100202112012 in words is "one hundred two trillion, one hundred billion, two hundred two million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 219 292 438 876 949 1898 2847 3796 5694 11388 8965595549 17931191098 26896786647 35862382196 53793573294 107587146588 116552742137 233105484274 349658226411 466210968548 654488475077 699316452822 1308976950154 1398632905644 1963465425231 2617953900308 3926930850462 7853861700924 8508350176001 17016700352002 25525050528003 34033400704004 51050101056006 102100202112012