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201101212010100 = 223521021656549827
BaseRepresentation
bin101101101110011010000110…
…010011100100011001110100
3222101001002101020022022121010
4231232122012103210121310
5202324320240233310400
61551412342120352220
760234040335051303
oct5556320623443164
9871032336268533
10201101212010100
11590935aa533486
121a67a919015670
1388299bc1a509c
1437934ca06643a
15183b18614e450
hexb6e6864e4674

201101212010100 has 72 divisors (see below), whose sum is σ = 582422726219488. Its totient is φ = 53574465801600.

The previous prime is 201101212010063. The next prime is 201101212010107. The reversal of 201101212010100 is 1010212101102.

201101212010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101212010107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327968614 + ... + 328581213.

Almost surely, 2201101212010100 is an apocalyptic number.

201101212010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101212010100 is an abundant number, since it is smaller than the sum of its proper divisors (381321514209388).

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

201101212010100 is a wasteful number, since it uses less digits than its factorization.

201101212010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656550865 (or 656550858 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201101212010100 its reverse (1010212101102), we get a palindrome (202111424111202).

The spelling of 201101212010100 in words is "two hundred one trillion, one hundred one billion, two hundred twelve million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1021 2042 3063 4084 5105 6126 10210 12252 15315 20420 25525 30630 51050 61260 76575 102100 153150 306300 656549827 1313099654 1969649481 2626199308 3282749135 3939298962 6565498270 7878597924 9848247405 13130996540 16413745675 19696494810 32827491350 39392989620 49241237025 65654982700 98482474050 196964948100 670337373367 1340674746734 2011012120101 2681349493468 3351686866835 4022024240202 6703373733670 8044048480404 10055060600505 13406747467340 16758434334175 20110121201010 33516868668350 40220242402020 50275303002525 67033737336700 100550606005050 201101212010100