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100122200101020 = 223588711531631647
BaseRepresentation
bin10110110000111110000100…
…001010111101000010011100
3111010111120220021100212000010
4112300332010022331002130
5101110400231211213040
6552535300451003220
730042406311644316
oct2660760412750234
9433446807325003
10100122200101020
11299a164a85a7a9
12b29042a299510
1343b3638098926
141aa1d244207b6
15b8961c9b1e80
hex5b0f842bd09c

100122200101020 has 96 divisors (see below), whose sum is σ = 280901804617728. Its totient is φ = 26646006177792.

The previous prime is 100122200100959. The next prime is 100122200101037. The reversal of 100122200101020 is 20101002221001.

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 = 100122200100987 and 100122200101005.

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, 60546837 + ... + 62178483.

It is an arithmetic number, because the mean of its divisors is an integer number (2926060464768).

Almost surely, 2100122200101020 is an apocalyptic number.

100122200101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122200101020 is an abundant number, since it is smaller than the sum of its proper divisors (180779604516708).

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

100122200101020 is a wasteful number, since it uses less digits than its factorization.

100122200101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633699 (or 1633697 counting only the distinct ones).

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

Adding to 100122200101020 its reverse (20101002221001), we get a palindrome (120223202322021).

The spelling of 100122200101020 in words is "one hundred trillion, one hundred twenty-two billion, two hundred million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 887 1153 1774 2306 2661 3459 3548 4435 4612 5322 5765 6918 8870 10644 11530 13305 13836 17295 17740 23060 26610 34590 53220 69180 1022711 1631647 2045422 3068133 3263294 4090844 4894941 5113555 6136266 6526588 8158235 9789882 10227110 12272532 15340665 16316470 19579764 20454220 24474705 30681330 32632940 48949410 61362660 97898820 1447270889 1881288991 2894541778 3762577982 4341812667 5643866973 5789083556 7236354445 7525155964 8683625334 9406444955 11287733946 14472708890 17367250668 18812889910 21709063335 22575467892 28219334865 28945417780 37625779820 43418126670 56438669730 86836253340 112877339460 1668703335017 3337406670034 5006110005051 6674813340068 8343516675085 10012220010102 16687033350170 20024440020204 25030550025255 33374066700340 50061100050510 100122200101020