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120102102110001 = 31121319292718673
BaseRepresentation
bin11011010011101101110011…
…001000100000111100110001
3120202020122111222220122000010
4123103231303020200330301
5111220223101120010001
61103234051035245133
734204043023615224
oct3323556310407461
9522218458818003
10120102102110001
11352a5019649700
1211578712ba97a9
13520276c5b578b
142192d893695bb
15dd41e81c28d6
hex6d3b73220f31

120102102110001 has 48 divisors (see below), whose sum is σ = 177552031567680. Its totient is φ = 72155729817600.

The previous prime is 120102102109933. The next prime is 120102102110021. The reversal of 120102102110001 is 100011201201021.

It is not a de Polignac number, because 120102102110001 - 210 = 120102102108977 is a prime.

It is a super-2 number, since 2×1201021021100012 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120102102110021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42817401 + ... + 45536073.

It is an arithmetic number, because the mean of its divisors is an integer number (3699000657660).

Almost surely, 2120102102110001 is an apocalyptic number.

120102102110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120102102110001 is a deficient number, since it is larger than the sum of its proper divisors (57449929457679).

120102102110001 is a wasteful number, since it uses less digits than its factorization.

120102102110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719758 (or 2719747 counting only the distinct ones).

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

Adding to 120102102110001 its reverse (100011201201021), we get a palindrome (220113303311022).

The spelling of 120102102110001 in words is "one hundred twenty trillion, one hundred two billion, one hundred two million, one hundred ten thousand, one".

Divisors: 1 3 11 33 121 131 363 393 929 1441 2787 4323 10219 15851 30657 47553 112409 121699 337227 365097 1338689 2718673 4016067 8156019 14725579 29905403 44176737 89716209 328959433 356146163 986878299 1068438489 2525647217 3917607793 7576941651 11752823379 27782119387 43093685723 83346358161 129281057169 305603313257 330859785427 916809939771 992579356281 3639457639697 10918372919091 40034034036667 120102102110001