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100120001221020 = 223511213790633777
BaseRepresentation
bin10110110000111100000001…
…000110111001000110011100
3111010111101020000210011201010
4112300330001012321012130
5101110331230303033040
6552534254341215220
730042300651531414
oct2660740106710634
9433441200704633
10100120001221020
11299a0721625700
12b28bb15a01510
1343b3377669cc1
141aa1b96395644
15b8953e916e80
hex5b0f011b919c

100120001221020 has 72 divisors (see below), whose sum is σ = 308137921135632. Its totient is φ = 24271515445760.

The previous prime is 100120001220991. The next prime is 100120001221057. The reversal of 100120001221020 is 20122100021001.

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 = 100120001220987 and 100120001221005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6895309629 + ... + 6895324148.

It is an arithmetic number, because the mean of its divisors is an integer number (4279693349106).

Almost surely, 2100120001221020 is an apocalyptic number.

100120001221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120001221020 is an abundant number, since it is smaller than the sum of its proper divisors (208017919914612).

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

100120001221020 is a wasteful number, since it uses less digits than its factorization.

100120001221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13790633811 (or 13790633798 counting only the distinct ones).

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

Adding to 100120001221020 its reverse (20122100021001), we get a palindrome (120242101242021).

The spelling of 100120001221020 in words is "one hundred trillion, one hundred twenty billion, one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 13790633777 27581267554 41371901331 55162535108 68953168885 82743802662 137906337770 151696971547 165487605324 206859506655 275812675540 303393943094 413719013310 455090914641 606787886188 758484857735 827438026620 910181829282 1516969715470 1668666687017 1820363658564 2275454573205 3033939430940 3337333374034 4550909146410 5006000061051 6674666748068 8343333435085 9101818292820 10012000122102 16686666870170 20024000244204 25030000305255 33373333740340 50060000610510 100120001221020