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1221221102010 = 2357133712090101
BaseRepresentation
bin10001110001010110011…
…100110011000110111010
311022202011222221210021120
4101301112130303012322
5130002030100231020
62333004330250110
7154141666044060
oct21612634630672
94282158853246
101221221102010
11430a0a525128
12178820586936
138b211c649c0
1443170a74030
1521b77c5e740
hex11c567331ba

1221221102010 has 128 divisors (see below), whose sum is σ = 3704794136064. Its totient is φ = 250700313600.

The previous prime is 1221221101873. The next prime is 1221221102011. The reversal of 1221221102010 is 102011221221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1221221102011) 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, 5944041 + ... + 6146060.

It is an arithmetic number, because the mean of its divisors is an integer number (28943704188).

Almost surely, 21221221102010 is an apocalyptic number.

1221221102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1221221102010 is an abundant number, since it is smaller than the sum of its proper divisors (2483573034054).

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

1221221102010 is a wasteful number, since it uses less digits than its factorization.

1221221102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12090168.

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

Adding to 1221221102010 its reverse (102011221221), we get a palindrome (1323232323231).

It can be divided in two parts, 1221221 and 102010, that added together give a palindrome (1323231).

The spelling of 1221221102010 in words is "one trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 37 39 42 65 70 74 78 91 105 111 130 182 185 195 210 222 259 273 370 390 455 481 518 546 555 777 910 962 1110 1295 1365 1443 1554 2405 2590 2730 2886 3367 3885 4810 6734 7215 7770 10101 14430 16835 20202 33670 50505 101010 12090101 24180202 36270303 60450505 72540606 84630707 120901010 157171313 169261414 181351515 253892121 314342626 362703030 423153535 447333737 471513939 507784242 785856565 846307070 894667474 943027878 1100199191 1269460605 1342001211 1571713130 2200398382 2236668685 2357569695 2538921210 2684002422 3131336159 3300597573 4473337370 4715139390 5500995955 5815338581 6262672318 6601195146 6710006055 9394008477 11001991910 11630677162 13420012110 15656680795 16502987865 17446015743 18788016954 29076692905 31313361590 33005975730 34892031486 40707370067 46970042385 58153385810 81414740134 87230078715 93940084770 122122110201 174460157430 203536850335 244244220402 407073700670 610610551005 1221221102010