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101100213197 is a prime number
BaseRepresentation
bin101111000101000001…
…0101101001111001101
3100122221211212222000122
41132022002231033031
53124023123310242
6114240024234325
710206233430104
oct1361202551715
9318854788018
10101100213197
1139970486605
121771630b9a5
1396c2736479
144c7121703b
15296ab13ad2
hex178a0ad3cd

101100213197 has 2 divisors, whose sum is σ = 101100213198. Its totient is φ = 101100213196.

The previous prime is 101100213167. The next prime is 101100213223. The reversal of 101100213197 is 791312001101.

It is an a-pointer prime, because the next prime (101100213223) can be obtained adding 101100213197 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71214793321 + 29885419876 = 266861^2 + 172874^2 .

It is an emirp because it is prime and its reverse (791312001101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101100213197 - 26 = 101100213133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100213167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550106598 + 50550106599.

It is an arithmetic number, because the mean of its divisors is an integer number (50550106599).

Almost surely, 2101100213197 is an apocalyptic number.

It is an amenable number.

101100213197 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100213197 is an equidigital number, since it uses as much as digits as its factorization.

101100213197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 26.

Adding to 101100213197 its reverse (791312001101), we get a palindrome (892412214298).

The spelling of 101100213197 in words is "one hundred one billion, one hundred million, two hundred thirteen thousand, one hundred ninety-seven".