Search a number
-
+
100101012100122 = 23117338272501987
BaseRepresentation
bin10110110000101010010101…
…010001001001010000011010
3111010102120012122101212220010
4112300222111101021100122
5101110023333044200442
6552521434202342350
730041026252626045
oct2660522521112032
9433376178355803
10100101012100122
1129993667780060
12b2882b64ba9b6
1343b163c53b2a7
141aa0cb444dc5c
15b88ccc7cab9c
hex5b0a9544941a

100101012100122 has 64 divisors (see below), whose sum is σ = 218964702380544. Its totient is φ = 30255615983040.

The previous prime is 100101012100099. The next prime is 100101012100153. The reversal of 100101012100122 is 221001210101001.

It is a junction number, because it is equal to n+sod(n) for n = 100101012100098 and 100101012100107.

It is an unprimeable number.

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, 38757613 + ... + 41259599.

It is an arithmetic number, because the mean of its divisors is an integer number (3421323474696).

Almost surely, 2100101012100122 is an apocalyptic number.

100101012100122 is an abundant number, since it is smaller than the sum of its proper divisors (118863690280422).

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

100101012100122 is a wasteful number, since it uses less digits than its factorization.

100101012100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503563.

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

Adding to 100101012100122 its reverse (221001210101001), we get a palindrome (321102222201123).

The spelling of 100101012100122 in words is "one hundred trillion, one hundred one billion, twelve million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 733 827 1466 1654 2199 2481 4398 4962 8063 9097 16126 18194 24189 27291 48378 54582 606191 1212382 1818573 2501987 3637146 5003974 6668101 7505961 13336202 15011922 20004303 27521857 40008606 55043714 82565571 165131142 1833956471 2069143249 3667912942 4138286498 5501869413 6207429747 11003738826 12414859494 20173521181 22760575739 40347042362 45521151478 60520563543 68281727217 121041127086 136563454434 1516682001517 3033364003034 4550046004551 9100092009102 16683502016687 33367004033374 50050506050061 100101012100122