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101000100012197 is a prime number
BaseRepresentation
bin10110111101101111101011…
…000101010110000010100101
3111020121111220121221002201012
4112331233223011112002211
5101214241201100342242
6554450445544512005
730163005430034111
oct2675575305260245
9436544817832635
10101000100012197
112a1aa9a1431781
12b3b25b517b605
13444836505a9a9
141ad2606650741
15ba239ebde282
hex5bdbeb1560a5

101000100012197 has 2 divisors, whose sum is σ = 101000100012198. Its totient is φ = 101000100012196.

The previous prime is 101000100012151. The next prime is 101000100012233. The reversal of 101000100012197 is 791210001000101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61942424863201 + 39057675148996 = 7870351^2 + 6249614^2 .

It is an emirp because it is prime and its reverse (791210001000101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101000100012197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000100012127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500050006098 + 50500050006099.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050006099).

Almost surely, 2101000100012197 is an apocalyptic number.

It is an amenable number.

101000100012197 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000100012197 is an equidigital number, since it uses as much as digits as its factorization.

101000100012197 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 23.

Adding to 101000100012197 its reverse (791210001000101), we get a palindrome (892210101012298).

The spelling of 101000100012197 in words is "one hundred one trillion, one hundred million, twelve thousand, one hundred ninety-seven".