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100212221032011 = 32111012244656889
BaseRepresentation
bin10110110010010001111001…
…110101100011011001001011
3111010211012020222121222001100
4112302101321311203121023
5101113334112041011021
6553044505255552443
730052044154145214
oct2662217165433113
9433735228558040
10100212221032011
1129a26845277630
12b2a597208b723
1343bbc83338cba
141aa642400a40b
15b8bb3aac5626
hex5b2479d6364b

100212221032011 has 12 divisors (see below), whose sum is σ = 157910166474840. Its totient is φ = 60734679413280.

The previous prime is 100212221031991. The next prime is 100212221032013. The reversal of 100212221032011 is 110230122212001.

100212221032011 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 122 + 210 + 320 + 11 = 666.

It is a de Polignac number, because none of the positive numbers 2k-100212221032011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100212221032013) 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, 506122328346 + ... + 506122328543.

It is an arithmetic number, because the mean of its divisors is an integer number (13159180539570).

Almost surely, 2100212221032011 is an apocalyptic number.

100212221032011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100212221032011 is a deficient number, since it is larger than the sum of its proper divisors (57697945442829).

100212221032011 is a wasteful number, since it uses less digits than its factorization.

100212221032011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012244656906 (or 1012244656903 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100212221032011 its reverse (110230122212001), we get a palindrome (210442343244012).

The spelling of 100212221032011 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-one million, thirty-two thousand, eleven".

Divisors: 1 3 9 11 33 99 1012244656889 3036733970667 9110201912001 11134691225779 33404073677337 100212221032011