Search a number
-
+
12101221222101 = 3211223035480633
BaseRepresentation
bin1011000000011000100011…
…1111100000011011010101
31120211212100220122221211100
42300012020333200123111
53041231300113101401
641423120240100313
72356166354135214
oct260061077403325
946755326587740
1012101221222101
11394610a9a1170
12143536a604699
1369a1a921424b
142db9b8cd507b
1515eba9488b86
hexb0188fe06d5

12101221222101 has 24 divisors (see below), whose sum is σ = 19069449474816. Its totient is φ = 7333743291840.

The previous prime is 12101221222021. The next prime is 12101221222121. The reversal of 12101221222101 is 10122212210121.

12101221222101 is a `hidden beast` number, since 1 + 210 + 1 + 221 + 22 + 210 + 1 = 666.

It is not a de Polignac number, because 12101221222101 - 222 = 12101217027797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101221222121) 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, 532320 + ... + 4948313.

It is an arithmetic number, because the mean of its divisors is an integer number (794560394784).

Almost surely, 212101221222101 is an apocalyptic number.

12101221222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101221222101 is a deficient number, since it is larger than the sum of its proper divisors (6968228252715).

12101221222101 is a wasteful number, since it uses less digits than its factorization.

12101221222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5502953 (or 5502950 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12101221222101 its reverse (10122212210121), we get a palindrome (22223433432222).

The spelling of 12101221222101 in words is "twelve trillion, one hundred one billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 11 33 99 22303 66909 200727 245333 735999 2207997 5480633 16441899 49325697 60286963 180860889 542582667 122234557799 366703673397 1100111020191 1344580135789 4033740407367 12101221222101