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101101212212110 = 251161101149180641
BaseRepresentation
bin10110111111001101110101…
…110101110001101110001110
3111020222011220022101001102021
4112333031311311301232032
5101222420240311241420
6555005131122120354
730203215200410005
oct2677156565615616
9436864808331367
10101101212212110
112a239868655060
12b40a1134b00ba
134454a5a100096
141ad74792a7c3c
15ba4d1b8be7aa
hex5bf375d71b8e

101101212212110 has 64 divisors (see below), whose sum is σ = 203778370081728. Its totient is φ = 35803353600000.

The previous prime is 101101212212089. The next prime is 101101212212137. The reversal of 101101212212110 is 11212212101101.

101101212212110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1011012122121102 (a number of 29 digits) contains 22 as substring.

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, 73912611 + ... + 75268030.

It is an arithmetic number, because the mean of its divisors is an integer number (3184037032527).

Almost surely, 2101101212212110 is an apocalyptic number.

101101212212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101212212110 is an abundant number, since it is smaller than the sum of its proper divisors (102677157869618).

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

101101212212110 is a wasteful number, since it uses less digits than its factorization.

101101212212110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149180821.

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

Adding to 101101212212110 its reverse (11212212101101), we get a palindrome (112313424313211).

The spelling of 101101212212110 in words is "one hundred one trillion, one hundred one billion, two hundred twelve million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 55 61 101 110 122 202 305 505 610 671 1010 1111 1342 2222 3355 5555 6161 6710 11110 12322 30805 61610 67771 135542 338855 677710 149180641 298361282 745903205 1491806410 1640987051 3281974102 8204935255 9100019101 15067244741 16409870510 18200038202 30134489482 45500095505 75336223705 91000191010 100100210111 150672447410 165739692151 200200420222 331479384302 500501050555 828698460755 919101929201 1001002101110 1657396921510 1838203858402 4595509646005 9191019292010 10110121221211 20220242442422 50550606106055 101101212212110