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101101222000212 = 22377091697582477
BaseRepresentation
bin10110111111001101110110…
…011011000111011001010100
3111020222011220222210100011120
4112333031312123013121110
5101222420300313001322
6555005132112003540
730203215346534520
oct2677156633073124
9436864828710146
10101101222000212
112a23987312aaa5
12b40a1168305b0
134454a5c149365
141ad747a6d4d80
15ba4d1c6a4a5c
hex5bf3766c7654

101101222000212 has 48 divisors (see below), whose sum is σ = 269983517301120. Its totient is φ = 28845321432192.

The previous prime is 101101222000199. The next prime is 101101222000309. The reversal of 101101222000212 is 212000222101101.

It is a junction number, because it is equal to n+sod(n) for n = 101101222000191 and 101101222000200.

It is a congruent number.

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, 848731683 + ... + 848850794.

It is an arithmetic number, because the mean of its divisors is an integer number (5624656610440).

Almost surely, 2101101222000212 is an apocalyptic number.

101101222000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101222000212 is an abundant number, since it is smaller than the sum of its proper divisors (168882295300908).

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

101101222000212 is a wasteful number, since it uses less digits than its factorization.

101101222000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697583200 (or 1697583198 counting only the distinct ones).

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

Adding to 101101222000212 its reverse (212000222101101), we get a palindrome (313101444101313).

The spelling of 101101222000212 in words is "one hundred one trillion, one hundred one billion, two hundred twenty-two million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 709 1418 2127 2836 4254 4963 8508 9926 14889 19852 29778 59556 1697582477 3395164954 5092747431 6790329908 10185494862 11883077339 20370989724 23766154678 35649232017 47532309356 71298464034 142596928068 1203585976193 2407171952386 3610757928579 4814343904772 7221515857158 8425101833351 14443031714316 16850203666702 25275305500053 33700407333404 50550611000106 101101222000212