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10121221121211 = 3243101990126153
BaseRepresentation
bin1001001101001000011111…
…0010100010010010111011
31022211120122022011020201100
42103102013302202102323
52311311230101334321
633305342542222443
72063143203023664
oct223220762422273
938746568136640
1010121221121211
113252427510622
121175688584a23
13585572320905
1426dc2670236b
15128422207326
hex93487ca24bb

10121221121211 has 48 divisors (see below), whose sum is σ = 15109748720352. Its totient is φ = 6524400960000.

The previous prime is 10121221121191. The next prime is 10121221121239. The reversal of 10121221121211 is 11212112212101.

It is a happy number.

10121221121211 is a `hidden beast` number, since 10 + 1 + 212 + 211 + 21 + 211 = 666.

It is a de Polignac number, because none of the positive numbers 2k-10121221121211 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121221121251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386987311 + ... + 387013463.

It is an arithmetic number, because the mean of its divisors is an integer number (314786431674).

Almost surely, 210121221121211 is an apocalyptic number.

10121221121211 is a deficient number, since it is larger than the sum of its proper divisors (4988527599141).

10121221121211 is a wasteful number, since it uses less digits than its factorization.

10121221121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36204 (or 36201 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10121221121211 its reverse (11212112212101), we get a palindrome (21333333333312).

The spelling of 10121221121211 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 9 43 101 129 303 387 909 4343 9901 13029 26153 29703 39087 78459 89109 235377 425743 1000001 1124579 1277229 2641453 3000003 3373737 3831687 7924359 9000009 10121211 23773077 43000043 113582479 129000129 258940853 340747437 387000387 776822559 1022242311 2330467677 11134456679 26153026153 33403370037 78459078459 100210110111 235377235377 1124580124579 3373740373737 10121221121211