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102121001220110 = 251731137337141959
BaseRepresentation
bin10111001110000011100110…
…000000000111100000001110
3111101120200011011022020112112
4113032003212000013200032
5101341122302303020420
61001105423523504022
730336666416064635
oct2716034600074016
9441520134266475
10102121001220110
112a5a2300999614
12b553898828012
1344c9c7a13acc2
141b3097b99251c
15bc16055c58c5
hex5ce0e600780e

102121001220110 has 128 divisors (see below), whose sum is σ = 202440369070080. Its totient is φ = 36921965875200.

The previous prime is 102121001220083. The next prime is 102121001220131. The reversal of 102121001220110 is 11022100121201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2433807311 + ... + 2433849269.

It is an arithmetic number, because the mean of its divisors is an integer number (1581565383360).

Almost surely, 2102121001220110 is an apocalyptic number.

102121001220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102121001220110 is a deficient number, since it is larger than the sum of its proper divisors (100319367849970).

102121001220110 is a wasteful number, since it uses less digits than its factorization.

102121001220110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45522.

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

Adding to 102121001220110 its reverse (11022100121201), we get a palindrome (113143101341311).

The spelling of 102121001220110 in words is "one hundred two trillion, one hundred twenty-one billion, one million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 5 10 17 31 34 62 85 137 155 170 274 310 527 685 1054 1370 2329 2635 3371 4247 4658 5270 6742 8494 11645 16855 21235 23290 33710 41959 42470 57307 72199 83918 104501 114614 144398 209002 209795 286535 360995 419590 461827 522505 573070 713303 721990 923654 1045010 1300729 1426606 1776517 2309135 2601458 3553034 3566515 4618270 5748383 6503645 7133030 7851059 8882585 11496766 13007290 14316637 15702118 17765170 22112393 28633274 28741915 39255295 44224786 57483830 71583185 78510590 97722511 110561965 141443789 143166370 178199873 195445022 221123930 243382829 282887578 356399746 486765658 488612555 707218945 890999365 977225110 1216914145 1414437890 1781998730 2404544413 2433828290 3029397841 4384757459 4809088826 6058795682 8769514918 12022722065 15146989205 19377799093 21923787295 24045444130 30293978410 38755598186 43847574590 74540876803 96888995465 149081753606 193777990930 329422584581 372704384015 600711771883 658845169162 745408768030 1201423543766 1647112922905 3003558859415 3294225845810 6007117718830 10212100122011 20424200244022 51060500610055 102121001220110