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102120011020222 = 213210114983923929
BaseRepresentation
bin10111001110000010101010…
…111110110011011110111110
3111101120120121011001212122121
4113032002222332303132332
5101341113240310121342
61001105141352233154
730336633033401536
oct2716025276633676
9441516534055577
10102120011020222
112a5a1942a597a8
12b55366109b7ba
1344c9b4cc52700
141b308c62764c6
15bc15986cd067
hex5ce0aafb37be

102120011020222 has 96 divisors (see below), whose sum is σ = 168844049640000. Its totient is φ = 46295281843200.

The previous prime is 102120011020213. The next prime is 102120011020241. The reversal of 102120011020222 is 222020110021201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102120011020196 and 102120011020205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4267613554 + ... + 4267637482.

It is an arithmetic number, because the mean of its divisors is an integer number (1758792183750).

Almost surely, 2102120011020222 is an apocalyptic number.

102120011020222 is a deficient number, since it is larger than the sum of its proper divisors (66724038619778).

102120011020222 is a wasteful number, since it uses less digits than its factorization.

102120011020222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25046 (or 25033 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102120011020222 its reverse (222020110021201), we get a palindrome (324140121041423).

The spelling of 102120011020222 in words is "one hundred two trillion, one hundred twenty billion, eleven million, twenty thousand, two hundred twenty-two".

Divisors: 1 2 13 26 101 149 169 202 298 338 839 1313 1678 1937 2626 3874 10907 15049 17069 21814 23929 25181 30098 34138 47858 50362 84739 125011 141791 169478 195637 250022 283582 311077 391274 622154 1101607 1625143 2203214 2416829 2543281 3250286 3565421 4044001 4833658 5086562 7130842 8088002 12626111 14320891 20076431 21126859 25252222 28641782 31418777 40152862 42253718 46350473 62837554 92700946 164139443 260993603 328278886 360107521 408444101 521987206 602556149 720215042 816888202 1205112298 2027719531 2133812759 2991388219 3392916839 4055439062 4267625518 4681397773 5982776438 6785833678 9362795546 26360353903 38888046847 52720707806 60858171049 77776093694 121716342098 302130210119 342684600739 505544609011 604260420238 685369201478 1011089218022 3927692731547 7855385463094 51060005510111 102120011020222