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10021201101021 = 3115359443219217
BaseRepresentation
bin1001000111010011111000…
…1000011100000011011101
31022111000110201211202221010
42101310332020130003131
52303141404440213041
633151402022125433
72053002463623405
oct221647610340335
938430421752833
1010021201101021
113213a70851010
12115a213b80879
13578cc2621806
14269058b4d805
15125a1b365a16
hex91d3e21c0dd

10021201101021 has 64 divisors (see below), whose sum is σ = 15137195811840. Its totient is φ = 5844614231040.

The previous prime is 10021201101013. The next prime is 10021201101083. The reversal of 10021201101021 is 12010110212001.

It is not a de Polignac number, because 10021201101021 - 23 = 10021201101013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021201100988 and 10021201101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021201101221) 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, 45604005 + ... + 45823221.

It is an arithmetic number, because the mean of its divisors is an integer number (236518684560).

Almost surely, 210021201101021 is an apocalyptic number.

10021201101021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021201101021 is a deficient number, since it is larger than the sum of its proper divisors (5115994710819).

10021201101021 is a wasteful number, since it uses less digits than its factorization.

10021201101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219786.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10021201101021 its reverse (12010110212001), we get a palindrome (22031311313022).

The spelling of 10021201101021 in words is "ten trillion, twenty-one billion, two hundred one million, one hundred one thousand, twenty-one".

Divisors: 1 3 11 33 53 59 159 177 443 583 649 1329 1749 1947 3127 4873 9381 14619 23479 26137 34397 70437 78411 103191 219217 258269 287507 657651 774807 862521 1385261 2411387 4155783 7234161 11618501 12933803 15237871 34855503 38801409 45713613 97113131 127803511 142271833 291339393 383410533 426815499 685491559 1068244441 2056474677 3204733323 5146995943 5729674729 7540407149 15440987829 17189024187 22621221447 56616955373 63026422019 169850866119 189079266057 303672760637 911018281911 3340400367007 10021201101021