Search a number
-
+
121012201101 = 31147330723593
BaseRepresentation
bin111000010110011100…
…0111010011010001101
3102120100112210202101010
41300230320322122031
53440313110413401
6131331531235433
711512536511011
oct1605470723215
9376315722333
10121012201101
1147359261860
121b5528a8b79
13b546b06c2c
145bdd94c541
153233c96ed6
hex1c2ce3a68d

121012201101 has 32 divisors (see below), whose sum is σ = 179824785408. Its totient is φ = 71755539840.

The previous prime is 121012201097. The next prime is 121012201103. The reversal of 121012201101 is 101102210121.

It is not a de Polignac number, because 121012201101 - 22 = 121012201097 is a prime.

It is a super-2 number, since 2×1210122011012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121012201103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5117361 + ... + 5140953.

It is an arithmetic number, because the mean of its divisors is an integer number (5619524544).

Almost surely, 2121012201101 is an apocalyptic number.

121012201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121012201101 is a deficient number, since it is larger than the sum of its proper divisors (58812584307).

121012201101 is a wasteful number, since it uses less digits than its factorization.

121012201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26961.

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

Adding to 121012201101 its reverse (101102210121), we get a palindrome (222114411222).

The spelling of 121012201101 in words is "one hundred twenty-one billion, twelve million, two hundred one thousand, one hundred one".

Divisors: 1 3 11 33 47 141 517 1551 3307 9921 23593 36377 70779 109131 155429 259523 466287 778569 1108871 1709719 3326613 5129157 12197581 36592743 78022051 234066153 858242561 2574727683 3667036397 11001109191 40337400367 121012201101