Search a number
-
+
102120110121 = 3337491205721
BaseRepresentation
bin101111100011011010…
…1010011100000101001
3100202120221000002120210
41133012311103200221
53133120222010441
6114525140211333
710243426420401
oct1370665234051
9322527002523
10102120110121
113a34415a227
121795b999b49
139825b1bb83
144d2a863801
1529ca425616
hex17c6d53829

102120110121 has 16 divisors (see below), whose sum is σ = 136842982848. Its totient is φ = 67739481600.

The previous prime is 102120110093. The next prime is 102120110129. The reversal of 102120110121 is 121011021201.

It is not a de Polignac number, because 102120110121 - 213 = 102120101929 is a prime.

It is a super-2 number, since 2×1021201101212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102120110097 and 102120110106.

It is not an unprimeable number, because it can be changed into a prime (102120110129) 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 15 ways as a sum of consecutive naturals, for example, 393541 + ... + 599261.

It is an arithmetic number, because the mean of its divisors is an integer number (8552686428).

Almost surely, 2102120110121 is an apocalyptic number.

It is an amenable number.

102120110121 is a deficient number, since it is larger than the sum of its proper divisors (34722872727).

102120110121 is a wasteful number, since it uses less digits than its factorization.

102120110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206552.

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

Adding to 102120110121 its reverse (121011021201), we get a palindrome (223131131322).

The spelling of 102120110121 in words is "one hundred two billion, one hundred twenty million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 337 491 1011 1473 165467 205721 496401 617163 69327977 101009011 207983931 303027033 34040036707 102120110121