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101220020101020 = 223561191144794467
BaseRepresentation
bin10111000000111100011111…
…010101111001111110011100
3111021101112120020101010221010
4113000330133111321332130
5101231342100121213040
6555135500231335220
730214622312661612
oct2700743725717634
9437345506333833
10101220020101020
112a2851956014a7
12b42914bb21510
134463012325972
141add10a1756b2
15ba7e71d96e80
hex5c0f1f579f9c

101220020101020 has 96 divisors (see below), whose sum is σ = 289570402308096. Its totient is φ = 26410510598400.

The previous prime is 101220020101009. The next prime is 101220020101037. The reversal of 101220020101020 is 20101020022101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101220020100987 and 101220020101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71698174 + ... + 73096293.

It is an arithmetic number, because the mean of its divisors is an integer number (3016358357376).

Almost surely, 2101220020101020 is an apocalyptic number.

101220020101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220020101020 is an abundant number, since it is smaller than the sum of its proper divisors (188350382207076).

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

101220020101020 is a wasteful number, since it uses less digits than its factorization.

101220020101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144794731 (or 144794729 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101220020101020 its reverse (20101020022101), we get a palindrome (121321040123121).

The spelling of 101220020101020 in words is "one hundred one trillion, two hundred twenty billion, twenty million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 191 244 305 366 382 573 610 732 764 915 955 1146 1220 1830 1910 2292 2865 3660 3820 5730 11460 11651 23302 34953 46604 58255 69906 116510 139812 174765 233020 349530 699060 144794467 289588934 434383401 579177868 723972335 868766802 1447944670 1737533604 2171917005 2895889340 4343834010 8687668020 8832462487 17664924974 26497387461 27655743197 35329849948 44162312435 52994774922 55311486394 82967229591 88324624870 105989549844 110622972788 132486937305 138278715985 165934459182 176649249740 264973874610 276557431970 331868918364 414836147955 529947749220 553114863940 829672295910 1659344591820 1687000335017 3374000670034 5061001005051 6748001340068 8435001675085 10122002010102 16870003350170 20244004020204 25305005025255 33740006700340 50610010050510 101220020101020