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12222101220101 = 670911069164581
BaseRepresentation
bin1011000111011010111000…
…0000000110101100000101
31121021102101020201002122022
42301312232000012230011
53100221330403020401
641554431130012525
72401006030151363
oct261665600065405
947242336632568
1012222101220101
113992400566863
121454884b77145
136a8701810996
143037a506c633
15162dd181971b
hexb1dae006b05

12222101220101 has 8 divisors (see below), whose sum is σ = 12225101585400. Its totient is φ = 12219101219520.

The previous prime is 12222101220059. The next prime is 12222101220137. The reversal of 12222101220101 is 10102210122221.

It can be written as a sum of positive squares in 4 ways, for example, as 411015621025 + 11811085599076 = 641105^2 + 3436726^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12222101220101 - 222 = 12222097025797 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12222101220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222101220001) 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 7 ways as a sum of consecutive naturals, for example, 74179631 + ... + 74344211.

It is an arithmetic number, because the mean of its divisors is an integer number (1528137698175).

Almost surely, 212222101220101 is an apocalyptic number.

It is an amenable number.

12222101220101 is a deficient number, since it is larger than the sum of its proper divisors (3000365299).

12222101220101 is a wasteful number, since it uses less digits than its factorization.

12222101220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182359.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12222101220101 its reverse (10102210122221), we get a palindrome (22324311342322).

The spelling of 12222101220101 in words is "twelve trillion, two hundred twenty-two billion, one hundred one million, two hundred twenty thousand, one hundred one".

Divisors: 1 6709 11069 164581 74261921 1104173929 1821747089 12222101220101