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12110020102100 = 22521035651208057
BaseRepresentation
bin1011000000111001010101…
…1100100100011111010100
31120212201002010022101001202
42300032111130210133110
53041402310121231400
641431133314412032
72356630405315454
oct260162534443724
946781063271052
1012110020102100
113949915704a18
121437005291018
1369ac7c10750b
142dc1b1715d64
15160021b894d5
hexb03957247d4

12110020102100 has 72 divisors (see below), whose sum is σ = 26538700039488. Its totient is φ = 4796106912000.

The previous prime is 12110020102093. The next prime is 12110020102153. The reversal of 12110020102100 is 120102001121.

It is a congruent number.

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, 58101272 + ... + 58309328.

It is an arithmetic number, because the mean of its divisors is an integer number (368593056104).

Almost surely, 212110020102100 is an apocalyptic number.

12110020102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12110020102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13269350019744).

12110020102100 is an abundant number, since it is smaller than the sum of its proper divisors (14428679937388).

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

12110020102100 is a wasteful number, since it uses less digits than its factorization.

12110020102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213825 (or 213818 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12110020102100 its reverse (120102001121), we get a palindrome (12230122103221).

The spelling of 12110020102100 in words is "twelve trillion, one hundred ten billion, twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 2060 2575 5150 5651 10300 11302 22604 28255 56510 113020 141275 208057 282550 416114 565100 582053 832228 1040285 1164106 2080570 2328212 2910265 4161140 5201425 5820530 10402850 11641060 14551325 20805700 21429871 29102650 42859742 58205300 85719484 107149355 214298710 428597420 535746775 1071493550 1175730107 2142987100 2351460214 4702920428 5878650535 11757301070 23514602140 29393252675 58786505350 117573010700 121100201021 242200402042 484400804084 605501005105 1211002010210 2422004020420 3027505025525 6055010051050 12110020102100