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100122212012202 = 23313994409300593
BaseRepresentation
bin10110110000111110000100…
…111000011001000010101010
3111010111120221002210000002000
4112300332010320121002222
5101110400242233342302
6552535301554151430
730042406515123642
oct2660760470310252
9433446832700060
10100122212012202
11299a1656555856
12b290432282576
1343b363a6a9373
141aa1d25c41522
15b8961da6631c
hex5b0f84e190aa

100122212012202 has 64 divisors (see below), whose sum is σ = 222704082720000. Its totient is φ = 33342539963904.

The previous prime is 100122212012201. The next prime is 100122212012203. The reversal of 100122212012202 is 202210212221001.

It is a happy number.

100122212012202 is a `hidden beast` number, since 10 + 0 + 12 + 221 + 201 + 220 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (100122212012201) and next prime (100122212012203).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100122212012201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332932018 + ... + 333232610.

It is an arithmetic number, because the mean of its divisors is an integer number (3479751292500).

Almost surely, 2100122212012202 is an apocalyptic number.

100122212012202 is an abundant number, since it is smaller than the sum of its proper divisors (122581870707798).

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

100122212012202 is a wasteful number, since it uses less digits than its factorization.

100122212012202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306412 (or 306406 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100122212012202 its reverse (202210212221001), we get a palindrome (302332424233203).

The spelling of 100122212012202 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twelve million, twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 1399 2798 4197 4409 8394 8818 12591 13227 25182 26454 37773 39681 75546 79362 119043 238086 300593 601186 901779 1803558 2705337 5410674 6168191 8116011 12336382 16232022 18504573 37009146 55513719 111027438 166541157 333082314 420529607 841059214 1261588821 1325314537 2523177642 2650629074 3784766463 3975943611 7569532926 7951887222 11354299389 11927830833 22708598778 23855661666 35783492499 71566984998 1854115037263 3708230074526 5562345111789 11124690223578 16687035335367 33374070670734 50061106006101 100122212012202