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101201102122110 = 235107191165061901
BaseRepresentation
bin10111000000101010110111…
…101111100010110001111110
3111021022201201210212020120120
4113000222313233202301332
5101231034324120401420
6555123051113355410
730213352436550264
oct2700526757426176
9437281653766516
10101201102122110
112a278167927991
12b425550408b66
1344612b8b754c3
141adc23386c434
15ba771610ed40
hex5c0ab7be2c7e

101201102122110 has 64 divisors (see below), whose sum is σ = 246436099190784. Its totient is φ = 26594773328000.

The previous prime is 101201102122093. The next prime is 101201102122121. The reversal of 101201102122110 is 11221201102101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101201102122110.

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, 81917841 + ... + 83144060.

It is an arithmetic number, because the mean of its divisors is an integer number (3850564049856).

Almost surely, 2101201102122110 is an apocalyptic number.

101201102122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101201102122110 is an abundant number, since it is smaller than the sum of its proper divisors (145234997068674).

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

101201102122110 is a wasteful number, since it uses less digits than its factorization.

101201102122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165062209.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101201102122110 its reverse (11221201102101), we get a palindrome (112422303224211).

The spelling of 101201102122110 in words is "one hundred one trillion, two hundred one billion, one hundred two million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 107 191 214 321 382 535 573 642 955 1070 1146 1605 1910 2865 3210 5730 20437 40874 61311 102185 122622 204370 306555 613110 165061901 330123802 495185703 825309505 990371406 1650619010 2475928515 4951857030 17661623407 31526823091 35323246814 52984870221 63053646182 88308117035 94580469273 105969740442 157634115455 176616234070 189160938546 264924351105 315268230910 472902346365 529848702210 945804692730 3373370070737 6746740141474 10120110212211 16866850353685 20240220424422 33733700707370 50600551061055 101201102122110