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100021201122 = 231737531014951
BaseRepresentation
bin101110100100110111…
…0100110100011100010
3100120011122112110201110
41131021232212203202
53114320411413442
6113541001244150
710140422116233
oct1351156464342
9316148473643
10100021201122
11394673a6897
1217474a93656
13958002379b
144babbbd08a
15290602669c
hex1749ba68e2

100021201122 has 128 divisors (see below), whose sum is σ = 223878256128. Its totient is φ = 29652480000.

The previous prime is 100021201051. The next prime is 100021201123. The reversal of 100021201122 is 221102120001.

It is a junction number, because it is equal to n+sod(n) for n = 100021201098 and 100021201107.

It is not an unprimeable number, because it can be changed into a prime (100021201123) 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 63 ways as a sum of consecutive naturals, for example, 20199747 + ... + 20204697.

It is an arithmetic number, because the mean of its divisors is an integer number (1749048876).

Almost surely, 2100021201122 is an apocalyptic number.

100021201122 is an abundant number, since it is smaller than the sum of its proper divisors (123857055006).

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

100021201122 is a wasteful number, since it uses less digits than its factorization.

100021201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100021201122 its reverse (221102120001), we get a palindrome (321123321123).

The spelling of 100021201122 in words is "one hundred billion, twenty-one million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 17 34 37 51 53 74 101 102 106 111 159 202 222 303 318 606 629 901 1258 1717 1802 1887 1961 2703 3434 3737 3774 3922 4951 5151 5353 5406 5883 7474 9902 10302 10706 11211 11766 14853 16059 22422 29706 32118 33337 63529 66674 84167 91001 100011 127058 168334 182002 183187 190587 198061 200022 252501 262403 273003 366374 381174 396122 500051 505002 524806 546006 549561 594183 787209 1000102 1099122 1188366 1500153 1574418 3000306 3114179 3367037 4460851 6228358 6734074 8500867 8921702 9342537 9708911 10101111 13382553 17001734 18501887 18685074 19417822 20202222 25502601 26502703 26765106 29126733 37003774 51005202 53005406 55505661 58253466 79508109 111011322 159016218 165051487 314532079 330102974 450545951 495154461 629064158 901091902 943596237 980600011 990308922 1351637853 1887192474 1961200022 2703275706 2941800033 5883600066 16670200187 33340400374 50010600561 100021201122