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100101212213 is a prime number
BaseRepresentation
bin101110100111001111…
…1110100100000110101
3100120101020002110022012
41131032133310200311
53120001402242323
6113552540214005
710142413156562
oct1351637644065
9316336073265
10100101212213
11394a8585362
121749783a305
139593788c22
144bb8689869
15290d07d678
hex174e7f4835

100101212213 has 2 divisors, whose sum is σ = 100101212214. Its totient is φ = 100101212212.

The previous prime is 100101212203. The next prime is 100101212227. The reversal of 100101212213 is 312212101001.

It is an a-pointer prime, because the next prime (100101212227) can be obtained adding 100101212213 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72351316324 + 27749895889 = 268982^2 + 166583^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101212213 - 236 = 31381735477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101212203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050606106 + 50050606107.

It is an arithmetic number, because the mean of its divisors is an integer number (50050606107).

Almost surely, 2100101212213 is an apocalyptic number.

It is an amenable number.

100101212213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101212213 is an equidigital number, since it uses as much as digits as its factorization.

100101212213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100101212213 its reverse (312212101001), we get a palindrome (412313313214).

The spelling of 100101212213 in words is "one hundred billion, one hundred one million, two hundred twelve thousand, two hundred thirteen".