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101012120020200 = 233521011666866667
BaseRepresentation
bin10110111101111010110111…
…100010000010010011101000
3111020122122221022200202212210
4112331322313202002103220
5101214440310211121300
6554500154411205120
730163612333312164
oct2675726742022350
9436578838622783
10101012120020200
112a204aaa409694
12b3b49aa7467a0
13444952c3a946c
141ad3026b99ca4
15ba28550b3050
hex5bdeb78824e8

101012120020200 has 96 divisors (see below), whose sum is σ = 316237944252960. Its totient is φ = 26669866656000.

The previous prime is 101012120020171. The next prime is 101012120020219. The reversal of 101012120020200 is 2020021210101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 833372734 + ... + 833493933.

It is an arithmetic number, because the mean of its divisors is an integer number (3294145252635).

Almost surely, 2101012120020200 is an apocalyptic number.

101012120020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012120020200 is an abundant number, since it is smaller than the sum of its proper divisors (215225824232760).

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

101012120020200 is a wasteful number, since it uses less digits than its factorization.

101012120020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666866787 (or 1666866778 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101012120020200 its reverse (2020021210101), we get a palindrome (103032141230301).

The spelling of 101012120020200 in words is "one hundred one trillion, twelve billion, one hundred twenty million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 150 200 202 300 303 404 505 600 606 808 1010 1212 1515 2020 2424 2525 3030 4040 5050 6060 7575 10100 12120 15150 20200 30300 60600 1666866667 3333733334 5000600001 6667466668 8334333335 10001200002 13334933336 16668666670 20002400004 25003000005 33337333340 40004800008 41671666675 50006000010 66674666680 83343333350 100012000020 125015000025 166686666700 168353533367 200024000040 250030000050 333373333400 336707066734 500060000100 505060600101 673414133468 841767666835 1000120000200 1010121200202 1346828266936 1683535333670 2020242400404 2525303000505 3367070667340 4040484800808 4208838334175 5050606001010 6734141334680 8417676668350 10101212002020 12626515002525 16835353336700 20202424004040 25253030005050 33670706673400 50506060010100 101012120020200