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12221121010100 = 2252122211210101
BaseRepresentation
bin1011000111010111001110…
…0100111001100110110100
31121021022211221021021022012
42301311303210321212310
53100212323434310400
641554145552423352
72400642525413312
oct261656344714664
947238757237265
1012221121010100
113991a4822a552
121454650847b58
136a85a6712472
14303710bd30b2
15162d75746d35
hexb1d739399b4

12221121010100 has 18 divisors (see below), whose sum is σ = 26519832592134. Its totient is φ = 4888448404000.

The previous prime is 12221121010069. The next prime is 12221121010127. The reversal of 12221121010100 is 101012112221.

It can be written as a sum of positive squares in 3 ways, for example, as 1714434084496 + 10506686925604 = 1309364^2 + 3241402^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61105604951 + ... + 61105605150.

Almost surely, 212221121010100 is an apocalyptic number.

12221121010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221121010100 is an abundant number, since it is smaller than the sum of its proper divisors (14298711582034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12221121010100 is a wasteful number, since it uses less digits than its factorization.

12221121010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122211210115 (or 122211210108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12221121010100 its reverse (101012112221), we get a palindrome (12322133122321).

The spelling of 12221121010100 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-one million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 122211210101 244422420202 488844840404 611056050505 1222112101010 2444224202020 3055280252525 6110560505050 12221121010100