Search a number
-
+
12100101202101 = 311236790827281
BaseRepresentation
bin1011000000010100011000…
…1110111110000010110101
31120211202110212011001020010
42300011012032332002311
53041222001401431401
641422413150130433
72356126534130613
oct260050616760265
946752425131203
1012100101202101
113945695752600
1214350b74b0a19
1369a05b174013
142db9102646b3
1515eb40e9aed6
hexb01463be0b5

12100101202101 has 24 divisors (see below), whose sum is σ = 17781801960832. Its totient is φ = 7313412585600.

The previous prime is 12100101202097. The next prime is 12100101202153. The reversal of 12100101202101 is 10120210100121.

It is not a de Polignac number, because 12100101202101 - 22 = 12100101202097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100101202171) 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, 45280420 + ... + 45546861.

Almost surely, 212100101202101 is an apocalyptic number.

12100101202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100101202101 is a deficient number, since it is larger than the sum of its proper divisors (5681700758731).

12100101202101 is a wasteful number, since it uses less digits than its factorization.

12100101202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90827673 (or 90827662 counting only the distinct ones).

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

Adding to 12100101202101 its reverse (10120210100121), we get a palindrome (22220311302222).

The spelling of 12100101202101 in words is "twelve trillion, one hundred billion, one hundred one million, two hundred two thousand, one hundred one".

Divisors: 1 3 11 33 121 363 367 1101 4037 12111 44407 133221 90827281 272481843 999100091 2997300273 10990101001 32970303003 33333612127 100000836381 366669733397 1100009200191 4033367067367 12100101202101