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1001201221221 = 34147712719001
BaseRepresentation
bin11101001000111000011…
…11100011111001100101
310112201021102201210012220
432210130033203321211
5112400430003034341
62043540120502553
7132222461651505
oct16443417437145
93481242653186
101001201221221
11356674a96203
1214205831aa59
137354a0c9b26
143665bbb3a05
151b09be43a66
hexe91c3e3e65

1001201221221 has 64 divisors (see below), whose sum is σ = 1421644234752. Its totient is φ = 625968000000.

The previous prime is 1001201221193. The next prime is 1001201221249. The reversal of 1001201221221 is 1221221021001.

It is an interprime number because it is at equal distance from previous prime (1001201221193) and next prime (1001201221249).

It is not a de Polignac number, because 1001201221221 - 219 = 1001200696933 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001201221221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001201221271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111227721 + ... + 111236721.

It is an arithmetic number, because the mean of its divisors is an integer number (22213191168).

Almost surely, 21001201221221 is an apocalyptic number.

It is an amenable number.

1001201221221 is a deficient number, since it is larger than the sum of its proper divisors (420443013531).

1001201221221 is a wasteful number, since it uses less digits than its factorization.

1001201221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9434.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1001201221221 its reverse (1221221021001), we get a palindrome (2222422242222).

The spelling of 1001201221221 in words is "one trillion, one billion, two hundred one million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 41 47 71 123 141 213 271 813 1927 2911 3337 5781 8733 9001 10011 11111 12737 19241 27003 33333 38211 57723 136817 369041 410451 423047 522217 639071 788881 904327 1107123 1269141 1566651 1917213 2366643 2439271 2712981 7317813 17344927 26201911 30036337 37077407 52034781 78605733 90109011 100010111 111232221 114645737 173188241 300030333 343937211 519564723 1231489817 3694469451 4700475217 7100717881 8139847327 14101425651 21302153643 24419541981 333733740407 1001201221221