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121111112202102 = 233112138113421813
BaseRepresentation
bin11011100010011001100000…
…110100100011011101110110
3120212211002221122102011021000
4123202121200310203131312
5111333241024210431402
61105325402111304130
734336663156110321
oct3342314064433566
9525732848364230
10121111112202102
1135653a30529100
121170018a51b046
135276962456059
1421c9b482937b8
15e005a095ac1c
hex6e2660d23776

121111112202102 has 96 divisors (see below), whose sum is σ = 296041193290080. Its totient is φ = 36673759108800.

The previous prime is 121111112202061. The next prime is 121111112202127. The reversal of 121111112202102 is 201202211111121.

It is a happy number.

121111112202102 is a `hidden beast` number, since 1 + 211 + 11 + 11 + 220 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2312548 + ... + 15734360.

It is an arithmetic number, because the mean of its divisors is an integer number (3083762430105).

Almost surely, 2121111112202102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121111112202102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148020596645040).

121111112202102 is an abundant number, since it is smaller than the sum of its proper divisors (174930081087978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121111112202102 is a wasteful number, since it uses less digits than its factorization.

121111112202102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13423227 (or 13423210 counting only the distinct ones).

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

Adding to 121111112202102 its reverse (201202211111121), we get a palindrome (322313323313223).

The spelling of 121111112202102 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred twelve million, two hundred two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 1381 2178 2762 3267 4143 6534 8286 12429 15191 24858 30382 37287 45573 74574 91146 136719 167101 273438 334202 410157 501303 820314 1002606 1503909 3007818 4511727 9023454 13421813 26843626 40265439 80530878 120796317 147639943 241592634 295279886 362388951 442919829 724777902 885839658 1328759487 1624039373 2657518974 3248078746 3986278461 4872118119 7972556922 9744236238 14616354357 18535523753 29232708714 37071047506 43849063071 55606571259 87698126142 111213142518 166819713777 203890761283 333639427554 407781522566 500459141331 611672283849 1000918282662 1223344567698 1835016851547 2242798374113 3670033703094 4485596748226 5505050554641 6728395122339 11010101109282 13456790244678 20185185367017 40370370734034 60555556101051 121111112202102