Search a number
-
+
10121001201201 = 3112313334652439
BaseRepresentation
bin1001001101000111101010…
…1011100110111000110001
31022211120001222100011011210
42103101322223212320301
52311310302301414301
633305305044430333
72063134562522532
oct223217253467061
938746058304153
1010121001201201
113252324362450
1211756269a83a9
135855388b0727
1426dc05416689
1512840cc65ad6
hex9347aae6e31

10121001201201 has 16 divisors (see below), whose sum is σ = 15361519610880. Its totient is φ = 5867247072720.

The previous prime is 10121001201191. The next prime is 10121001201221. The reversal of 10121001201201 is 10210210012101.

It is not a de Polignac number, because 10121001201201 - 25 = 10121001201169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121001201221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6667325461 + ... + 6667326978.

It is an arithmetic number, because the mean of its divisors is an integer number (960094975680).

Almost surely, 210121001201201 is an apocalyptic number.

10121001201201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121001201201 is a deficient number, since it is larger than the sum of its proper divisors (5240518409679).

10121001201201 is a wasteful number, since it uses less digits than its factorization.

10121001201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13334652476.

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

Adding to 10121001201201 its reverse (10210210012101), we get a palindrome (20331211213302).

The spelling of 10121001201201 in words is "ten trillion, one hundred twenty-one billion, one million, two hundred one thousand, two hundred one".

Divisors: 1 3 11 23 33 69 253 759 13334652439 40003957317 146681176829 306697006097 440043530487 920091018291 3373667067067 10121001201201