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121002101200211 = 72112401109146649
BaseRepresentation
bin11011100000110011111111…
…010000100101010101010011
3120212102200120110222111020112
4123200303333100211111103
5111324444300401401321
61105203333051231535
734326053603636300
oct3340637720452523
9525380513874215
10121002101200211
1135611780677a00
12116a3026a485ab
1352695abb1373a
1421c47665960a7
15dec8205bea5b
hex6e0cff425553

121002101200211 has 72 divisors (see below), whose sum is σ = 155248293891600. Its totient is φ = 93963999360000.

The previous prime is 121002101200153. The next prime is 121002101200219. The reversal of 121002101200211 is 112002101200121.

It is a de Polignac number, because none of the positive numbers 2k-121002101200211 is a prime.

It is a super-2 number, since 2×1210021012002112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121002101200219) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2593860815 + ... + 2593907463.

It is an arithmetic number, because the mean of its divisors is an integer number (2156226304050).

Almost surely, 2121002101200211 is an apocalyptic number.

121002101200211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121002101200211 is a deficient number, since it is larger than the sum of its proper divisors (34246192691389).

121002101200211 is a wasteful number, since it uses less digits than its factorization.

121002101200211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48177 (or 48159 counting only the distinct ones).

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

Adding to 121002101200211 its reverse (112002101200121), we get a palindrome (233004202400332).

The spelling of 121002101200211 in words is "one hundred twenty-one trillion, two billion, one hundred one million, two hundred thousand, two hundred eleven".

Divisors: 1 7 11 49 77 121 401 539 847 1091 2807 4411 5929 7637 12001 19649 30877 46649 48521 53459 84007 132011 216139 326543 339647 437491 513139 588049 924077 2285801 2377529 3062437 3591973 4812401 5644529 6468539 18706249 21437059 25143811 33686807 39511703 50894059 52936411 130943743 205768739 235807649 276581921 356258413 370554877 559834649 916606201 1440381173 2263456129 2493808891 2593884139 3918842543 6158181139 10082668211 15844192903 20408517659 27431897801 43107267973 110909350321 142859623613 224493694249 301750875811 1000017365291 1571455859743 2469430636739 11000191018201 17286014457173 121002101200211