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100122111111012 = 22373283740287151
BaseRepresentation
bin10110110000111101111110…
…110111011110111101100100
3111010111120200001220200122220
4112300331332313132331210
5101110400040421023022
6552535243551352340
730042404151356244
oct2660757667367544
9433446601820586
10100122111111012
11299a16045a9241
12b2904045226b0
1343b362280b613
141aa1d16697b24
15b89614c8485c
hex5b0f7eddef64

100122111111012 has 48 divisors (see below), whose sum is σ = 236901990243072. Its totient is φ = 32905254931200.

The previous prime is 100122111110999. The next prime is 100122111111067. The reversal of 100122111111012 is 210111111221001.

It is a junction number, because it is equal to n+sod(n) for n = 100122111110982 and 100122111111000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17658364 + ... + 22628787.

It is an arithmetic number, because the mean of its divisors is an integer number (4935458130064).

Almost surely, 2100122111111012 is an apocalyptic number.

100122111111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122111111012 is an abundant number, since it is smaller than the sum of its proper divisors (136779879132060).

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

100122111111012 is a wasteful number, since it uses less digits than its factorization.

100122111111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40290068 (or 40290066 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 100122111111012 its reverse (210111111221001), we get a palindrome (310233222332013).

The spelling of 100122111111012 in words is "one hundred trillion, one hundred twenty-two billion, one hundred eleven million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 73 146 219 292 438 876 2837 5674 8511 11348 17022 34044 207101 414202 621303 828404 1242606 2485212 40287151 80574302 120861453 161148604 241722906 483445812 2940962023 5881924046 8822886069 11763848092 17645772138 35291544276 114294647387 228589294774 342883942161 457178589548 685767884322 1371535768644 8343509259251 16687018518502 25030527777753 33374037037004 50061055555506 100122111111012