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12100001121021 = 311461417946657
BaseRepresentation
bin1011000000010100000001…
…0001001100001011111101
31120211202012212211101210110
42300011000101030023331
53041221300241333041
641422355213100233
72356124210350212
oct260050021141375
946752185741713
1012100001121021
113945644206170
121435089a87679
1369a043502648
142db900c51b09
1515eb372cc516
hexb014044c2fd

12100001121021 has 16 divisors (see below), whose sum is σ = 17600385284928. Its totient is φ = 7333174156800.

The previous prime is 12100001121007. The next prime is 12100001121067. The reversal of 12100001121021 is 12012110000121.

It is not a de Polignac number, because 12100001121021 - 233 = 12091411186429 is a prime.

It is a super-3 number, since 3×121000011210213 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12100001120988 and 12100001121006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100001121521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2450676 + ... + 5495981.

It is an arithmetic number, because the mean of its divisors is an integer number (1100024080308).

Almost surely, 212100001121021 is an apocalyptic number.

12100001121021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100001121021 is a deficient number, since it is larger than the sum of its proper divisors (5500384163907).

12100001121021 is a wasteful number, since it uses less digits than its factorization.

12100001121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992812.

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

Adding to 12100001121021 its reverse (12012110000121), we get a palindrome (24112111121142).

The spelling of 12100001121021 in words is "twelve trillion, one hundred billion, one million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 11 33 46141 138423 507551 1522653 7946657 23839971 87413227 262239681 366666700637 1100000101911 4033333707007 12100001121021