Search a number
-
+
102012210121 = 7910352323971
BaseRepresentation
bin101111100000001100…
…1101100101111001001
3100202022101222012121111
41133000121230233021
53132410111210441
6114510323410321
710240646323213
oct1370031545711
9322271865544
10102012210121
113a299262378
121792b8239a1
139809670613
144d1a3b75b3
1529c0c10081
hex17c066cbc9

102012210121 has 16 divisors (see below), whose sum is σ = 104510248960. Its totient is φ = 99548177040.

The previous prime is 102012210107. The next prime is 102012210161. The reversal of 102012210121 is 121012210201.

It is a cyclic number.

It is not a de Polignac number, because 102012210121 - 225 = 101978655689 is a prime.

It is a super-3 number, since 3×1020122101213 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102012210101) 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, 4243666 + ... + 4267636.

It is an arithmetic number, because the mean of its divisors is an integer number (6531890560).

Almost surely, 2102012210121 is an apocalyptic number.

It is an amenable number.

102012210121 is a deficient number, since it is larger than the sum of its proper divisors (2498038839).

102012210121 is a wasteful number, since it uses less digits than its factorization.

102012210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24676.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102012210121 its reverse (121012210201), we get a palindrome (223024420322).

The spelling of 102012210121 in words is "one hundred two billion, twelve million, two hundred ten thousand, one hundred twenty-one".

Divisors: 1 79 103 523 8137 23971 41317 53869 1893709 2469013 4255651 12536833 195052027 990409807 1291293799 102012210121