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2122100000100 = 223352785962963
BaseRepresentation
bin11110111000010111000…
…001000100010101100100
321111212111210112112001000
4132320113001010111210
5234232030100000400
64302513531433300
7306213421244523
oct36702701042544
97455453475030
102122100000100
11748a83144083
122a333abb5830
13125161839642
14749d2a824ba
153a3024ea600
hex1ee17044564

2122100000100 has 72 divisors (see below), whose sum is σ = 6822158527520. Its totient is φ = 565893332640.

The previous prime is 2122100000093. The next prime is 2122100000179. The reversal of 2122100000100 is 10000012212.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 392978782 + ... + 392984181.

Almost surely, 22122100000100 is an apocalyptic number.

2122100000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122100000100 is an abundant number, since it is smaller than the sum of its proper divisors (4700058527420).

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

2122100000100 is a wasteful number, since it uses less digits than its factorization.

2122100000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785962986 (or 785962973 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2122100000100 its reverse (10000012212), we get a palindrome (2132100012312).

The spelling of 2122100000100 in words is "two trillion, one hundred twenty-two billion, one hundred million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 785962963 1571925926 2357888889 3143851852 3929814815 4715777778 7073666667 7859629630 9431555556 11789444445 14147333334 15719259260 19649074075 21221000001 23578888890 28294666668 35368333335 39298148150 42442000002 47157777780 58947222225 70736666670 78596296300 84884000004 106105000005 117894444450 141473333340 176841666675 212210000010 235788888900 353683333350 424420000020 530525000025 707366666700 1061050000050 2122100000100