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121001212102101 = 31941277209989051
BaseRepresentation
bin11011100000110011001010…
…010000111100010111010101
3120212102121021111222121220220
4123200303022100330113111
5111324440440244231401
61105203104530544553
734326022556504442
oct3340631220742725
9525377244877826
10121001212102101
1135611364811381
12116a2a19138159
135269499866296
1421c46c04769c9
15dec7bc4e8336
hex6e0cca43c5d5

121001212102101 has 64 divisors (see below), whose sum is σ = 174681553536000. Its totient is φ = 74252483136000.

The previous prime is 121001212102093. The next prime is 121001212102109. The reversal of 121001212102101 is 101201212100121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121001212102093) and next prime (121001212102109).

It is not a de Polignac number, because 121001212102101 - 23 = 121001212102093 is a prime.

It is a super-2 number, since 2×1210012121021012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121001212102109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1358741026 + ... + 1358830076.

It is an arithmetic number, because the mean of its divisors is an integer number (2729399274000).

Almost surely, 2121001212102101 is an apocalyptic number.

It is an amenable number.

121001212102101 is a deficient number, since it is larger than the sum of its proper divisors (53680341433899).

121001212102101 is a wasteful number, since it uses less digits than its factorization.

121001212102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91490.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121001212102101 its reverse (101201212100121), we get a palindrome (222202424202222).

The spelling of 121001212102101 in words is "one hundred twenty-one trillion, one billion, two hundred twelve million, one hundred two thousand, one hundred one".

Divisors: 1 3 19 41 57 123 277 779 831 2099 2337 5263 6297 11357 15789 34071 39881 86059 89051 119643 215783 258177 267153 581423 647349 1635121 1691969 1744269 3651091 4905363 5075907 10953273 11047037 23838343 24667127 33141111 69370729 71515029 74001381 186918049 208112187 452928517 468675413 560754147 1011352207 1358785551 1406026239 3034056621 3551442931 7663640009 10654328793 19215691933 22990920027 51776299573 57647075799 145609160171 155328898719 436827480513 983749691887 2122828282493 2951249075661 6368484847479 40333737367367 121001212102101