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100120201222212 = 223210127535808917
BaseRepresentation
bin10110110000111100001101…
…000001110101100001000100
3111010111101201222010021202200
4112300330031001311201010
5101110332133003102322
6552534330244034500
730042305630522313
oct2660741501654104
9433441658107680
10100120201222212
11299a0814509546
12b28bb70992a30
1343b33a9c249c2
141aa1bb4b7827a
15b895522718ac
hex5b0f0d075844

100120201222212 has 36 divisors (see below), whose sum is σ = 255587378376876. Its totient is φ = 33042970699200.

The previous prime is 100120201222201. The next prime is 100120201222213. The reversal of 100120201222212 is 212222102021001.

It is a happy number.

100120201222212 is a `hidden beast` number, since 10 + 0 + 1 + 20 + 201 + 222 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91904548462596 + 8215652759616 = 9586686^2 + 2866296^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (100120201222213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13767900823 + ... + 13767908094.

Almost surely, 2100120201222212 is an apocalyptic number.

100120201222212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100120201222212 is an abundant number, since it is smaller than the sum of its proper divisors (155467177154664).

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

100120201222212 is a wasteful number, since it uses less digits than its factorization.

100120201222212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27535809028 (or 27535809023 counting only the distinct ones).

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

Adding to 100120201222212 its reverse (212222102021001), we get a palindrome (312342303243213).

The spelling of 100120201222212 in words is "one hundred trillion, one hundred twenty billion, two hundred one million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 27535808917 55071617834 82607426751 110143235668 165214853502 247822280253 330429707004 495644560506 991289121012 2781116700617 5562233401234 8343350101851 11124466802468 16686700203702 25030050305553 33373400407404 50060100611106 100120201222212