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11022100100101 is a prime number
BaseRepresentation
bin1010000001100100100001…
…0111000111010000000101
31110000200222002220002022101
42200121020113013100011
52421041230111200401
635235252145232101
72215214626012126
oct240311027072005
943020862802271
1011022100100101
11356a4a0185252
1212a01a7032631
1361c4c1c2326c
142a168873204d
15141a9b9ac101
hexa06485c7405

11022100100101 has 2 divisors, whose sum is σ = 11022100100102. Its totient is φ = 11022100100100.

The previous prime is 11022100100041. The next prime is 11022100100171. The reversal of 11022100100101 is 10100100122011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8134731101025 + 2887368999076 = 2852145^2 + 1699226^2 .

It is an emirp because it is prime and its reverse (10100100122011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11022100100101 - 225 = 11022066545669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11022100100171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5511050050050 + 5511050050051.

It is an arithmetic number, because the mean of its divisors is an integer number (5511050050051).

Almost surely, 211022100100101 is an apocalyptic number.

It is an amenable number.

11022100100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11022100100101 is an equidigital number, since it uses as much as digits as its factorization.

11022100100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11022100100101 its reverse (10100100122011), we get a palindrome (21122200222112).

The spelling of 11022100100101 in words is "eleven trillion, twenty-two billion, one hundred million, one hundred thousand, one hundred one".