Search a number
-
+
12100020210121 = 17978401787337
BaseRepresentation
bin1011000000010100000101…
…1010000000100111001001
31120211202021012202020010011
42300011001122000213021
53041221320133210441
641422401134151521
72356124531533444
oct260050132004711
946752235666104
1012100020210121
113945653a64088
1214350943525a1
1369a04745727c
142db9035c065b
1515eb38ced581
hexb01416809c9

12100020210121 has 16 divisors (see below), whose sum is σ = 12944168644176. Its totient is φ = 11270586433536.

The previous prime is 12100020210043. The next prime is 12100020210127. The reversal of 12100020210121 is 12101202000121.

It can be written as a sum of positive squares in 8 ways, for example, as 740012857600 + 11360007352521 = 860240^2 + 3370461^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100020210121 - 221 = 12100018112969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12100020210127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138500365 + ... + 138587701.

It is an arithmetic number, because the mean of its divisors is an integer number (809010540261).

Almost surely, 212100020210121 is an apocalyptic number.

It is an amenable number.

12100020210121 is a deficient number, since it is larger than the sum of its proper divisors (844148434055).

12100020210121 is an equidigital number, since it uses as much as digits as its factorization.

12100020210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171468.

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

Adding to 12100020210121 its reverse (12101202000121), we get a palindrome (24201222210242).

The spelling of 12100020210121 in words is "twelve trillion, one hundred billion, twenty million, two hundred ten thousand, one hundred twenty-one".

Divisors: 1 17 97 1649 84017 87337 1428289 1484729 8149649 8471689 138544033 144018713 7337792729 124742476393 711765894713 12100020210121