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12210100211001 = 371179669083249
BaseRepresentation
bin1011000110101110001010…
…1011111000110100111001
31121020021101212200200001210
42301223202223320310321
53100022241123223001
641545124222433333
72400102444232560
oct261534253706471
947207355620053
1012210100211001
113988302286020
121452495a32849
136a753b3b4a74
14302d8726abd7
1516292ce49dd6
hexb1ae2af8d39

12210100211001 has 32 divisors (see below), whose sum is σ = 20554237440000. Its totient is φ = 6262619201280.

The previous prime is 12210100210993. The next prime is 12210100211117. The reversal of 12210100211001 is 10011200101221.

It is not a de Polignac number, because 12210100211001 - 23 = 12210100210993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12210150211001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334523376 + ... + 334559873.

It is an arithmetic number, because the mean of its divisors is an integer number (642319920000).

Almost surely, 212210100211001 is an apocalyptic number.

12210100211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12210100211001 is a deficient number, since it is larger than the sum of its proper divisors (8344137228999).

12210100211001 is a wasteful number, since it uses less digits than its factorization.

12210100211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669083349.

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

Adding to 12210100211001 its reverse (10011200101221), we get a palindrome (22221300312222).

The spelling of 12210100211001 in words is "twelve trillion, two hundred ten billion, one hundred million, two hundred eleven thousand, one".

Divisors: 1 3 7 11 21 33 77 79 231 237 553 869 1659 2607 6083 18249 669083249 2007249747 4683582743 7359915739 14050748229 22079747217 51519410173 52857576671 154558230519 158572730013 370003036697 581433343381 1110009110091 1744300030143 4070033403667 12210100211001