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122110210100 = 22522942106969
BaseRepresentation
bin111000110111001010…
…1011111000000110100
3102200012001220101120002
41301232111133000310
54000040203210400
6132032513330432
711552001442304
oct1615625370064
9380161811502
10122110210100
114787203720a
121b7ba566a18
13b69043b5b8
145ca56cd604
15329a387ed5
hex1c6e55f034

122110210100 has 36 divisors (see below), whose sum is σ = 274116374700. Its totient is φ = 47159804160.

The previous prime is 122110210093. The next prime is 122110210109. The reversal of 122110210100 is 1012011221.

It can be written as a sum of positive squares in 6 ways, for example, as 3954397456 + 118155812644 = 62884^2 + 343738^2 .

It is a super-2 number, since 2×1221102101002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122110210109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21050585 + ... + 21056384.

Almost surely, 2122110210100 is an apocalyptic number.

122110210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122110210100 is an abundant number, since it is smaller than the sum of its proper divisors (152006164600).

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

122110210100 is a wasteful number, since it uses less digits than its factorization.

122110210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42107012 (or 42107005 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122110210100 its reverse (1012011221), we get a palindrome (123122221321).

The spelling of 122110210100 in words is "one hundred twenty-two billion, one hundred ten million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 42106969 84213938 168427876 210534845 421069690 842139380 1052674225 1221102101 2105348450 2442204202 4210696900 4884408404 6105510505 12211021010 24422042020 30527552525 61055105050 122110210100